diff --git a/.gitignore b/.gitignore index bfdd9f3..36d31af 100644 --- a/.gitignore +++ b/.gitignore @@ -8,3 +8,8 @@ __pycache__ .Rhistory ez_setup.py get-pip.py +*.swp +*.png +.RData +*.svg +.dccache \ No newline at end of file diff --git a/.ipynb_checkpoints/CIDresultsgen-checkpoint.ipynb b/.ipynb_checkpoints/CIDresultsgen-checkpoint.ipynb new file mode 100644 index 0000000..accd2cc --- /dev/null +++ b/.ipynb_checkpoints/CIDresultsgen-checkpoint.ipynb @@ -0,0 +1,561 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "03bcaeac-fa08-45c6-a8fb-63c49188ba86", + "metadata": {}, + "outputs": [], + "source": [ + "from cid import *" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "361a15fb-f151-436d-901d-3b6ec4666faf", + "metadata": {}, + "outputs": [], + "source": [ + "plur = CID(KSModel(), [Plurality], 35, 6, 5000)\n", + "plur.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1061af15-7978-4e81-af8b-fd815eb14e04", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "basesw = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 1000,\n", + ")\n", + "basesw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a396c0d0-aba6-402a-b7bf-15bcd9eeaab2", + "metadata": {}, + "outputs": [], + "source": [ + "hugeb = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 75,\n", + " 6,\n", + " 5000,\n", + " numBuckets=25,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2d583b2b-85aa-4602-885e-aa5ad3ccf596", + "metadata": {}, + "outputs": [], + "source": [ + "smallDevs = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 1000,\n", + " utilChange=0.02,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "945f679d-afe1-4bea-abe4-c4a33a865a8c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "basemw = CID(KSModel(), [STV, AllocatedScore, SequentialMonroe], 75, 10, 5000, 4)\n", + "basemw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "19c555e8-18b3-4ad4-a526-a2b52f3d371b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mwutils = CID(\n", + " KSModel(),\n", + " [STV, AllocatedScore, SequentialMonroe],\n", + " 35,\n", + " 10,\n", + " 500,\n", + " 4,\n", + " sorter=utilDeviation,\n", + ")\n", + "mwutils.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "26d4ccfb-440e-41b6-88df-c483bb09857e", + "metadata": {}, + "outputs": [], + "source": [ + "sw3 = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 3,\n", + " 5000,\n", + ")\n", + "sw3.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "62748375-b3a5-4f7b-b03f-e5c4c693d1d7", + "metadata": {}, + "outputs": [], + "source": [ + "sw12 = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 12,\n", + " 1000,\n", + ")\n", + "sw12.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bd7a62c7-4035-42ba-92f5-d55213fcfece", + "metadata": {}, + "outputs": [], + "source": [ + "mw20 = CID(KSModel(), [STV, AllocatedScore, SequentialMonroe], 35, 20, 500, 4)\n", + "mw20.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8d6f88a8-b3a0-4f0b-9939-a9ef205aba14", + "metadata": {}, + "outputs": [], + "source": [ + "mw2winners = CID(KSModel(), [STV, AllocatedScore, SequentialMonroe], 35, 10, 1000, 2)\n", + "mw2winners.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "760eb20a-25c2-4744-92e3-3470a6bab217", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "utilsw = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 1000,\n", + " sorter=utilDeviation,\n", + ")\n", + "utilsw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "90e94d0b-c14a-4afb-998a-06307df13112", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "({'Plurality:honBallot{}': [0.0005813953488372093,\n", + " 0.022093023255813953,\n", + " 0.1511627906976744,\n", + " 0.6122093023255814,\n", + " 0.21395348837209302],\n", + " 'PluralityTop2:honBallot{}': [0.043000914913083256,\n", + " 0.0626715462031107,\n", + " 0.2108874656907594,\n", + " 0.41216834400731933,\n", + " 0.27127172918572734],\n", + " 'IRV:honBallot{}': [0.05429864253393665,\n", + " 0.08054298642533937,\n", + " 0.25656108597285066,\n", + " 0.36425339366515835,\n", + " 0.24434389140271492],\n", + " 'Approval:zeroInfoBallot{}': [0.05647691618108472,\n", + " 0.2545943523083819,\n", + " 0.42536978933213804,\n", + " 0.15015688032272523,\n", + " 0.1134020618556701],\n", + " 'ApprovalTop2:zeroInfoBallot{}': [0.1072019867549669,\n", + " 0.19329470198675497,\n", + " 0.326158940397351,\n", + " 0.23137417218543047,\n", + " 0.14197019867549668],\n", + " 'STAR:honBallot{}': [0.18499197431781703,\n", + " 0.2231139646869984,\n", + " 0.24719101123595505,\n", + " 0.1958266452648475,\n", + " 0.14887640449438203],\n", + " 'Minimax:honBallot{}': [0.1583011583011583,\n", + " 0.19835907335907335,\n", + " 0.26206563706563707,\n", + " 0.23552123552123552,\n", + " 0.14575289575289574]},\n", + " {'Plurality:honBallot{}': [1, 38, 260, 1053, 368],\n", + " 'PluralityTop2:honBallot{}': [94, 137, 461, 901, 593],\n", + " 'IRV:honBallot{}': [120, 178, 567, 805, 540],\n", + " 'Approval:zeroInfoBallot{}': [126, 568, 949, 335, 253],\n", + " 'ApprovalTop2:zeroInfoBallot{}': [259, 467, 788, 559, 343],\n", + " 'STAR:honBallot{}': [461, 556, 616, 488, 371],\n", + " 'Minimax:honBallot{}': [328, 411, 543, 488, 302]},\n", + " {'Plurality:honBallot{}': [1, 35, 225, 638, 116],\n", + " 'PluralityTop2:honBallot{}': [57, 95, 314, 523, 258],\n", + " 'IRV:honBallot{}': [73, 124, 351, 469, 232],\n", + " 'Approval:zeroInfoBallot{}': [98, 363, 500, 116, 128],\n", + " 'ApprovalTop2:zeroInfoBallot{}': [155, 287, 433, 263, 146],\n", + " 'STAR:honBallot{}': [259, 305, 323, 217, 178],\n", + " 'Minimax:honBallot{}': [188, 243, 326, 247, 109]},\n", + " {'Plurality:honBallot{}': [0, 3, 35, 415, 252],\n", + " 'PluralityTop2:honBallot{}': [37, 42, 147, 378, 335],\n", + " 'IRV:honBallot{}': [47, 54, 216, 336, 308],\n", + " 'Approval:zeroInfoBallot{}': [28, 205, 449, 219, 125],\n", + " 'ApprovalTop2:zeroInfoBallot{}': [104, 180, 355, 296, 197],\n", + " 'STAR:honBallot{}': [202, 251, 293, 271, 193],\n", + " 'Minimax:honBallot{}': [140, 168, 217, 241, 193]})" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "utilsw.summarize()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4e9d007f-075e-406f-b581-bd098ea539bb", + "metadata": {}, + "outputs": [], + "source": [ + "manyBuckets = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 100,\n", + " 6,\n", + " 10000,\n", + " numBuckets=20,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c3a4ce7a-6444-40a6-9fb9-8182ab351ccf", + "metadata": {}, + "outputs": [], + "source": [ + "smallChange = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 10000,\n", + " utilShift=0.02,\n", + ")\n", + "basesw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3208cccc-5822-4a4d-a3cc-56ef74263537", + "metadata": {}, + "outputs": [], + "source": [ + "stratComparison = CID(KSModel(), [Plurality, (Plurality, Plurality.vaBallot), PluralityTop2, (PluralityTop2, PluralityTop2.vaBallot), IRV,\n", + " (Approval, Approval.zeroInfoBallot, {'pickiness':0}), (Approval, Approval.zeroInfoBallot{'pickiness':0.4}),\n", + " (Approval, Approval.zeroInfoBallot{'pickiness':0.8}), STAR, (STAR, STAR.vaBallot), Minimax], 35, 6, 2000)\n", + "stratComparison.chart(methodOnly=False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "42699a17-265e-4e5b-bdf9-34d7eab3ad57", + "metadata": {}, + "outputs": [], + "source": [ + "otherSWMethods = CID(\n", + " KSModel(),\n", + " [Score, Borda, SmithIRV, Schultz, Rp, RankedRobin, Raynaud, ITRV],\n", + " 35,\n", + " 6,\n", + " 2000,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b049b086-314e-40eb-87f0-a219bd662f86", + "metadata": {}, + "outputs": [], + "source": [ + "otherMWMethods = CID(\n", + " KSModel(),\n", + " [SNTV, RRV, (BlockApproval, BlockApproval.vaBallot), BlockSTAR, PBV],\n", + " 35,\n", + " 10,\n", + " 1000,\n", + " 4,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1571c637-6427-49bb-ab06-2c7b2e05838f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "randomElections = CID(\n", + " RandomModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 75,\n", + " 6,\n", + " 2000,\n", + " numBuckets=25,\n", + ")\n", + "randomElections.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3a90d7a5-be81-4430-859b-859685418cfe", + "metadata": {}, + "outputs": [], + "source": [ + "spatial2 = CID(\n", + " DimModel(ndims=2, dimWeights=[1, 1]),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 5000,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5c43f280-222f-400f-b3c4-f66f6852c69b", + "metadata": {}, + "outputs": [], + "source": [ + "spatial3 = CID(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 35,\n", + " 6,\n", + " 5000,\n", + ")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/Testing Notebook JQ-checkpoint.ipynb b/.ipynb_checkpoints/Testing Notebook JQ-checkpoint.ipynb new file mode 100644 index 0000000..6e6a994 --- /dev/null +++ b/.ipynb_checkpoints/Testing Notebook JQ-checkpoint.ipynb @@ -0,0 +1,13910 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "74b51e60", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *\n", + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "00529a6f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 [{'eid': UUID('907518c4-062e-43b6-bea9-47da57ef22b4'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7465679416504086, 'rand': -0.9132008949806026, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7465679416504086, 'vse': 1.0}, {'eid': UUID('907518c4-062e-43b6-bea9-47da57ef22b4'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7465679416504086, 'rand': -0.9132008949806026, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.7465679416504086, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '2', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '0.25284549623526775', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1 [{'eid': UUID('00aa7d7e-88b9-4164-a0a6-7af30cf11bfe'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.8276461366196516, 'rand': -1.178611067937392, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -1.2573122760686493, 'vse': -0.22424237041508396}, {'eid': UUID('00aa7d7e-88b9-4164-a0a6-7af30cf11bfe'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.8276461366196516, 'rand': -1.178611067937392, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -1.2573122760686493, 'vse': -0.22424237041508396, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '11', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '3.4347665530312503', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n", + "2 [{'eid': UUID('de7358ed-c08d-4f5d-8990-b7d9391f30b7'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9405717913526151, 'rand': -1.0963981904560103, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.9405717913526151, 'vse': 1.0}, {'eid': UUID('de7358ed-c08d-4f5d-8990-b7d9391f30b7'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9405717913526151, 'rand': -1.0963981904560103, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.9405717913526151, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.305018411623527', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "3 [{'eid': UUID('4ff1ec22-6fa2-45ee-bdb1-cf3cfcac095c'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.6770615365783423, 'rand': -1.148763282356039, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.6770615365783423, 'vse': 1.0}, {'eid': 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'ncand': 5, 'nvot': 21, 'best': -0.9678694830037525, 'rand': -1.3238250084315228, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.9678694830037525, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '13', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '3.304470414394146', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n", + "1973 [{'eid': UUID('93abda9d-9b8c-4eb6-b814-9f9cbb10fa16'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7067500147554768, 'rand': -0.9524369336476859, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7067500147554768, 'vse': 1.0}, {'eid': UUID('93abda9d-9b8c-4eb6-b814-9f9cbb10fa16'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7067500147554768, 'rand': -0.9524369336476859, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.7371422980772353, 'vse': 0.8762966971998515, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '4.015193798223882', 'tallyName2': 'worked', 'tallyVal2': '-1'}]\n", + "1974 [{'eid': UUID('6498995a-925c-4824-a336-3be001f874ad'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7872184118064873, 'rand': -0.9565971263863968, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7872184118064873, 'vse': 1.0}, {'eid': UUID('6498995a-925c-4824-a336-3be001f874ad'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7872184118064873, 'rand': -0.9565971263863968, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.807500718261588, 'vse': 0.8802546913559681, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '1.6490124197838407', 'tallyName2': 'worked', 'tallyVal2': '-1'}]\n", + "1975 [{'eid': UUID('b3b177b1-2566-4a7c-a198-e89a252da9df'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.6114486978055224, 'rand': -1.144997134308099, 'method': 'Srv0to5', 'chooser': 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'Oss.hon_strat._gap', 'tallyVal1': '1.5254370735753824', 'tallyName2': 'worked', 'tallyVal2': '-1'}]\n", + "1981 [{'eid': UUID('58951d76-3285-441b-8856-3e2c4bb1acaf'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5585103060432578, 'rand': -0.8286271239578806, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.5585103060432578, 'vse': 1.0}, {'eid': UUID('58951d76-3285-441b-8856-3e2c4bb1acaf'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5585103060432578, 'rand': -0.8286271239578806, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.5585103060432578, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.594960033052548', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1982 [{'eid': UUID('c0b0bdc9-7f3b-42a4-b5c8-a97e4228e3a3'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -1.024990745472365, 'rand': -1.348734249590549, 'method': 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'util': -0.3032191352720763, 'vse': 0.9583469235828278, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '9', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.439937259709618', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1984 [{'eid': UUID('c96468e6-cfc5-4ccd-95e9-d01146bb831a'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.966230415896656, 'rand': -1.2032089441908618, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.966230415896656, 'vse': 1.0}, {'eid': UUID('c96468e6-cfc5-4ccd-95e9-d01146bb831a'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.966230415896656, 'rand': -1.2032089441908618, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.966230415896656, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '3.7051848194068695', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1985 [{'eid': UUID('b60c9e58-d54f-4b3f-beac-d59ca1f932f5'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.8694014382038217, 'rand': -0.9167890311245067, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.8694014382038217, 'vse': 1.0}, {'eid': UUID('b60c9e58-d54f-4b3f-beac-d59ca1f932f5'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.8694014382038217, 'rand': -0.9167890311245067, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.8694014382038217, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '12', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.767930983281783', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n", + "1986 [{'eid': UUID('b83682e3-b66b-435b-b6f3-5a5b15f1998a'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7731376498054777, 'rand': -1.310777813969839, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7731376498054777, 'vse': 1.0}, {'eid': 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'Oss.hon_strat._', 'tallyVal0': '7', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '1.6677249877333358', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1988 [{'eid': UUID('4a5b6aaa-560d-4355-96e9-72fa3dcfa713'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7311105443614333, 'rand': -0.990631942753598, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7311105443614333, 'vse': 1.0}, {'eid': UUID('4a5b6aaa-560d-4355-96e9-72fa3dcfa713'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7311105443614333, 'rand': -0.990631942753598, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.7311105443614333, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '6', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.351781405671513', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1989 [{'eid': UUID('f4625d23-6d69-4407-bbb6-c2a7e09c7182'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': 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'2.42200314382673', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n", + "1992 [{'eid': UUID('e099b5a7-f352-4a9f-9ed0-846c80f3dd80'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5055036349573643, 'rand': -0.6439650640055307, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.5055036349573643, 'vse': 1.0}, {'eid': UUID('e099b5a7-f352-4a9f-9ed0-846c80f3dd80'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5055036349573643, 'rand': -0.6439650640055307, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.5055036349573643, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '4', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '0.23723351449661675', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1993 [{'eid': UUID('35dd99a8-bc87-4c63-abcb-37efceda1159'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9216595401885146, 'rand': -1.2543110307052696, 'method': 'Srv0to5', 'chooser': 'stratBallot', 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'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9910732238120952, 'rand': -1.4157282686099046, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.9910732238120952, 'vse': 1.0}, {'eid': UUID('04dcd2d6-27b4-46b7-84da-f21102af2db6'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9910732238120952, 'rand': -1.4157282686099046, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.9910732238120952, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '4', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '1.770146531906802', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1997 [{'eid': UUID('5f491098-58a6-407c-8710-90010e5cb87d'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9165590682115232, 'rand': -1.2403582259782011, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.9881206121218901, 'vse': 0.7789940393793969}, {'eid': UUID('5f491098-58a6-407c-8710-90010e5cb87d'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.9165590682115232, 'rand': -1.2403582259782011, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.9165590682115232, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '8', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '6.593650653512038', 'tallyName2': 'worked', 'tallyVal2': '-1'}]\n", + "1998 [{'eid': UUID('47e4264c-b599-4adf-b360-1852cca300e8'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7839322795341891, 'rand': -1.316753833213783, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.7839322795341891, 'vse': 1.0}, {'eid': UUID('47e4264c-b599-4adf-b360-1852cca300e8'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.7839322795341891, 'rand': -1.316753833213783, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.9747317323381116, 'vse': 0.6419074050471735, 'tallyName0': 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5, 'nvot': 21, 'best': -0.6265601694376656, 'rand': -0.7285660373526437, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.6265601694376656, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '7', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.2416057179793727', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "9999 [{'eid': UUID('b846397c-d569-4614-a1ff-ccfa7a2a5e74'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5016384974297495, 'rand': -0.5718807587279354, 'method': 'Srv0to5', 'chooser': 'stratBallot', 'util': -0.5016384974297495, 'vse': 1.0}, {'eid': UUID('b846397c-d569-4614-a1ff-ccfa7a2a5e74'), 'emodel': 'KSModel_1_1_1_1_1_3_1.5', 'ncand': 5, 'nvot': 21, 'best': -0.5016384974297495, 'rand': -0.5718807587279354, 'method': 'Srv0to5', 'chooser': 'Oss.hon_strat.', 'util': -0.5783070878100462, 'vse': 0.8382449115108209, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '7', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '1.0128759217095318', 'tallyName2': 'worked', 'tallyVal2': '1'}]\n", + "'__init__' ((, , [[, [, , , ]], [, [, , , ]], [, [, , , ]], [.Score0to object at 0x7ff1b001fbd0>, [, , , ]], [.Srv0to object at 0x7ff1b1100f90>, [, , , ]]]), {'nvot': 21, 'ncand': 5, 'niter': 10000}) 194.81 sec\n" + ] + } + ], + "source": [ + "c = CsvBatch(KSModel(), [[Irv(), baseRuns], [Schulze(), baseRuns], [V321(), baseRuns], [Score(1), baseRuns], [Srv(5), baseRuns]], nvot=21, ncand=5, niter=10000)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "47a2e022", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'eid': UUID('03db3d1f-d4b6-486a-ade9-1765b9a76baa'),\n", + " 'emodel': 'KSModel_1_1_1_1_1_3_1.5',\n", + " 'ncand': 5,\n", + " 'nvot': 21,\n", + " 'best': -0.6182293739772924,\n", + " 'rand': -0.8317472688334033,\n", + " 'method': 'Mav',\n", + " 'chooser': 'Oss.hon_strat.',\n", + " 'util': -0.6652364896039934,\n", + " 'vse': 0.779844609003948,\n", + " 'tallyName0': 'Oss.hon_strat._',\n", + " 'tallyVal0': '6',\n", + " 'tallyName1': 'Oss.hon_strat._gap',\n", + " 'tallyVal1': '1.8181857504275543',\n", + " 'tallyName2': 'worked',\n", + " 'tallyVal2': '1'}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c.rows[10]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a08d4751", + "metadata": {}, + "outputs": [], + "source": [ + "c.saveFile(\"results/OGdat\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9de3ea43", + "metadata": {}, + "outputs": [], + "source": [ + "cs = CsvBatches(KSModel(),\n", + " [Plurality, STAR, PluralityTop2, Approval,\n", + " ApprovalTop2, Irv, Minimax],\n", + " nvot=51, ncand=[3,5,7,9], niter=10,\n", + " pickiness = 0.7, pollingError = 0.4)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3b7d0bac", + "metadata": {}, + "outputs": [], + "source": [ + "cs.rows[1]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fe89af5a", + "metadata": {}, + "outputs": [], + "source": [ + "left = [Voter((random.gauss(1,1),random.gauss(0,1),random.gauss(-1,1))) for i in range(100)]\n", + "center = [Voter((random.gauss(0,1.5),random.gauss(1,1),random.gauss(0,1.5))) for i in range(100)]\n", + "right = [Voter((random.gauss(-1,1),random.gauss(0,1),random.gauss(1,1))) for i in range(100)]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9ff5531c", + "metadata": {}, + "outputs": [], + "source": [ + "easyLeft = Electorate(left[:40]+center[:30]+right[:30])\n", + "easyCenter = Electorate(left[:20]+center[:60]+right[:20])\n", + "centerSqueeze = Electorate(left[:35]+center[:30]+right[:35])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3d661bcf", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "threeRoundResults(Plurality,centerSqueeze, Plurality.honBallot,\n", + " [( paramStrat(Plurality.compBallot, intensity=3),select21,),\n", + " ( paramStrat(Plurality.compBallot, intensity=3),select31,),\n", + " ( Plurality.lowInfoBallot, select21,)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ecd36544", + "metadata": {}, + "outputs": [], + "source": [ + "threeRoundResults(Plurality, Electorate([Voter((3,1,0))]*10+[Voter((0,3,2))]*6+[Voter((0,2,3))]*7), \n", + " Plurality.lowInfoBallot,(Plurality.honBallot,select21,))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "827ea007", + "metadata": {}, + "outputs": [], + "source": [ + "threeRoundResults(STAR, Electorate([Voter((3,1,0))]*10+[Voter((0,3,2))]*6+[Voter((0,2,3))]*7),\n", + " STAR().lowInfoBallot,(STAR().honBallot, select31,))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8e522636", + "metadata": {}, + "outputs": [], + "source": [ + "threeRoundResults(Plurality, Electorate([Voter((3,1,0))]*10+[Voter((0,3,2))]*6+[Voter((0,2,3))]*7), \n", + " Plurality.honBallot,(Plurality.stratBallot, select21,))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b4113446", + "metadata": {}, + "outputs": [], + "source": [ + "c.rows[74]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c9dffe23", + "metadata": {}, + "outputs": [], + "source": [ + "with None as thing:\n", + " print(\"hi\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fd27e688", + "metadata": {}, + "outputs": [], + "source": [ + "a = [[5]]\n", + "b = a * 5\n", + "print(b)\n", + "a[0][0] = 4\n", + "b" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "72c81f62", + "metadata": {}, + "outputs": [], + "source": [ + "import random, time\n", + "random.seed(time.time())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "72f62213", + "metadata": {}, + "outputs": [], + "source": [ + "time.time()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2844111b", + "metadata": {}, + "outputs": [], + "source": [ + "time.time()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "df6e868e", + "metadata": {}, + "outputs": [], + "source": [ + "(1,2) + (3,4)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e3c3cc6c", + "metadata": {}, + "outputs": [], + "source": [ + "c = CsvBatch(KSModel(), [Plurality, STAR, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax], nvot=21, ncand=6, niter=5, pickiness = 0.7, pollingError = 0.4)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e05ad6b7", + "metadata": {}, + "outputs": [], + "source": [ + "c.saveFile(\"testfile\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5a826143", + "metadata": {}, + "outputs": [], + "source": [ + "c.saveFile(\"testfile\", newFile = False)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "661516d5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/Testing Notebook-checkpoint.ipynb b/.ipynb_checkpoints/Testing Notebook-checkpoint.ipynb new file mode 100644 index 0000000..fee7292 --- /dev/null +++ b/.ipynb_checkpoints/Testing Notebook-checkpoint.ipynb @@ -0,0 +1,529 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "74b51e60", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *\n", + "import random\n", + "\n", + "base_nvot = 31\n", + "base_ncand = 6\n", + "base_inner_niter = 1000\n", + "base_pickiness = 0.7\n", + "base_pollingError = 0.1\n", + "base_outer_niter = 15" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5ca1d9b3", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "ad3c82ec", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 50\n", + "Iteration: 500\n", + "Iteration: 750\n", + "Iteration: 200\n", + "Iteration: 650\n", + "Iteration: 250\n", + "Iteration: 400\n", + "Iteration: 850\n", + "Iteration: 450\n", + "Iteration: 700\n", + "Iteration: 950\n", + "Iteration: 100\n", + "Iteration: 300\n", + "Iteration: 600\n", + "Iteration: 900\n", + "Iteration: 150\n", + "Iteration: 350\n", + "Iteration: 550\n", + "Iteration: 800\n", + "YAYYAYYAYYAYYAYYAY 0\n", + "Iteration: 50\n", + "Iteration: 300\n", + "Iteration: 550\n", + "Iteration: 800\n", + "Iteration: 150\n", + "Iteration: 500\n", + "Iteration: 750\n", + "Iteration: 350\n", + "Iteration: 600\n", + "Iteration: 850\n", + "Iteration: 250\n", + "Iteration: 950\n", + "Iteration: 100\n", + "Iteration: 450\n", + "Iteration: 700\n", + "Iteration: 200\n", + "Iteration: 400\n", + "Iteration: 650\n", + "Iteration: 900\n", + "YAYYAYYAYYAYYAYYAY 1\n", + "Iteration: 200\n", + "Iteration: 450\n", + "Iteration: 700\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 300\n", + "Iteration: 550\n", + "Iteration: 800\n", + "Iteration: 350\n", + "Iteration: 600\n", + "Iteration: 900\n", + "Iteration: 250\n", + "Iteration: 500\n", + "Iteration: 650\n", + "Iteration: 950\n", + "YAYYAYYAYYAYYAYYAY 2\n", + "Iteration: 250\n", + "Iteration: 350\n", + "Iteration: 550\n", + "Iteration: 800\n", + "Iteration: 150\n", + "Iteration: 300\n", + "Iteration: 600\n", + "Iteration: 900\n", + "Iteration: 850\n", + "Iteration: 200\n", + "Iteration: 400\n", + "Iteration: 750\n", + "Iteration: 950\n", + "Iteration: 50\n", + "Iteration: 450\n", + "Iteration: 650\n", + "YAYYAYYAYYAYYAYYAY 3\n", + "Iteration: 150\n", + "Iteration: 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"Iteration: 700\n", + "Iteration: 900\n", + "Iteration: 450\n", + "Iteration: 650\n", + "Iteration: 850\n", + "Iteration: 200\n", + "Iteration: 350\n", + "Iteration: 950\n", + "YAYYAYYAYYAYYAYYAY 11\n", + "Iteration: 250\n", + "Iteration: 350\n", + "Iteration: 750\n", + "Iteration: 200\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 300\n", + "Iteration: 550\n", + "Iteration: 800\n", + "Iteration: 500\n", + "Iteration: 700\n", + "Iteration: 950\n", + "Iteration: 400\n", + "Iteration: 600\n", + "Iteration: 850\n", + "Iteration: 150\n", + "Iteration: 450\n", + "Iteration: 650\n", + "Iteration: 900\n", + "YAYYAYYAYYAYYAYYAY 12\n", + "Iteration: 100\n", + "Iteration: 450\n", + "Iteration: 750\n", + "Iteration: 150\n", + "Iteration: 400\n", + "Iteration: 600\n", + "Iteration: 800\n", + "Iteration: 50\n", + "Iteration: 500\n", + "Iteration: 700\n", + "Iteration: 950\n", + "Iteration: 250\n", + "Iteration: 650\n", + "Iteration: 900\n", + "Iteration: 200\n", + "Iteration: 350\n", + "Iteration: 550\n", + "Iteration: 850\n", + "YAYYAYYAYYAYYAYYAY 13\n", + "Iteration: 50\n", + "Iteration: 350\n", + "Iteration: 100\n", + "Iteration: 300\n", + "Iteration: 550\n", + "Iteration: 800\n", + "Iteration: 200\n", + "Iteration: 600\n", + "Iteration: 850\n", + "Iteration: 250\n", + "Iteration: 500\n", + "Iteration: 750\n", + "Iteration: 150\n", + "Iteration: 400\n", + "Iteration: 650\n", + "Iteration: 900\n", + "Iteration: 450\n", + "Iteration: 700\n", + "Iteration: 950\n", + "YAYYAYYAYYAYYAYYAY 14\n" + ] + } + ], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"base_scenario\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2f127cef", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ab579039", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " RandomModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"impartial_culture\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6e1f5bd5", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=2, dimWeights=[1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"2d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "91b2d8bf", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"3d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "669662cb", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=3,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"3cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a08de145", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=8,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"8cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "07d8c3e4", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=0.99,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"plurality_picky\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "df0b4dd5", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=0.0,\n", + " )\n", + " basic.saveFile(\"no_noise\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "40c4b922", + "metadata": {}, + "outputs": [], + "source": [ + "####??? voter idea of polling error what's it called??" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 0000000..8e8e4f7 --- /dev/null +++ b/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,121 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "ename": "ImportError", + "evalue": "attempted relative import with no known parent package", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mvse\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mCsvBatch\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbaseRuns\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mMav\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmedianRuns\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mScore\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;32m~/github/vse-sim/vse.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mimp\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mreload\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0;34m.\u001b[0m\u001b[0mmydecorators\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mautoassign\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcached_property\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msetdefaultattr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtimeit\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mrandom\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mscimath\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0msqrt\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mImportError\u001b[0m: attempted relative import with no known parent package" + ] + } + ], + "source": [ + "import os, sys\n", + "\n", + "dir2 = os.path.abspath(\"\")\n", + "dir1 = os.path.dirname(dir2)\n", + "if not dir1 in sys.path:\n", + " sys.path.append(dir1)\n", + "\n", + "from vse import CsvBatch, baseRuns, Mav, medianRuns, Score" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from voterModels import PolyaModel" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0 [{'eid': UUID('5353eead-d851-4f6c-850d-15a2ca7ed509'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 0.19511590017868208, 'rand': -0.02035312726213001, 'method': 'Mav', 'chooser': 'stratBallot', 'util': -0.03737806935533672, 'vse': 1.0}, {'eid': UUID('5353eead-d851-4f6c-850d-15a2ca7ed509'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 0.19511590017868208, 'rand': -0.02035312726213001, 'method': 'Mav', 'chooser': 'Oss.hon_strat.', 'util': -0.03737806935533672, 'vse': -0.07901340761322806, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '2', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '2.771359817934912', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "1 [{'eid': UUID('3d2e1029-56da-44d8-903d-cb30a8bf8666'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 1.020003063633122, 'rand': -0.13266364891895116, 'method': 'Mav', 'chooser': 'stratBallot', 'util': 1.020003063633122, 'vse': 1.0}, {'eid': UUID('3d2e1029-56da-44d8-903d-cb30a8bf8666'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 1.020003063633122, 'rand': -0.13266364891895116, 'method': 'Mav', 'chooser': 'Oss.hon_strat.', 'util': 1.020003063633122, 'vse': 1.0, 'tallyName0': 'Oss.hon_strat._', 'tallyVal0': '1', 'tallyName1': 'Oss.hon_strat._gap', 'tallyVal1': '0.7624205757166133', 'tallyName2': 'worked', 'tallyVal2': '0'}]\n", + "2 [{'eid': UUID('b194a516-370e-485f-9588-c2df29ff99c1'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 1.2473988325538747, 'rand': 0.09073798177255273, 'method': 'Mav', 'chooser': 'stratBallot', 'util': 1.2473988325538747, 'vse': 1.0}, {'eid': UUID('b194a516-370e-485f-9588-c2df29ff99c1'), 'emodel': 'PolyaModel', 'ncand': 4, 'nvot': 5, 'best': 1.2473988325538747, 'rand': 0.09073798177255273, 'method': 'Mav', 'chooser': 'Oss.hon_strat.', 'util': 1.2473988325538747, 'vse': 1.0, 'tallyName0': 'worked', 'tallyVal0': '0'}]\n", + "'__init__' ((, , [[.Score0to object at 0x7fca4961dad0>, [, , , ]], [, [, , , , , , , ]]]), {'nvot': 5, 'ncand': 4, 'niter': 3}) 10.60 sec\n" + ] + } + ], + "source": [ + "csvs = CsvBatch(\n", + " PolyaModel(), [[Score(), baseRuns], [Mav(), medianRuns]], nvot=5, ncand=4, niter=3\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "csvs" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "csvs.saveFile()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/.ipynb_checkpoints/debug-checkpoint.ipynb b/.ipynb_checkpoints/debug-checkpoint.ipynb new file mode 100644 index 0000000..363fcab --- /dev/null +++ b/.ipynb_checkpoints/debug-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/resultgeneration-checkpoint.ipynb b/.ipynb_checkpoints/resultgeneration-checkpoint.ipynb new file mode 100644 index 0000000..07ea9dc --- /dev/null +++ b/.ipynb_checkpoints/resultgeneration-checkpoint.ipynb @@ -0,0 +1,534 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "64021853", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "57c4148f", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=1001,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"bullets\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4956ed04", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " RandomModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"9random\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cea6e582", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " DimModel(2),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"2d\")\n", + "basic = CsvBatch(\n", + " DimModel(3),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"3d\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a42fbe2d", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=3,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"3cand\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=8,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"8cand\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.0,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"0picky\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=3,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.1,\n", + ")\n", + "basic.saveFile(\"01MOE\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "90cc36d9", + "metadata": {}, + "outputs": [], + "source": [ + "manyMethods = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " Approval,\n", + " ApprovalTop2,\n", + " STAR,\n", + " Score,\n", + " Borda,\n", + " Irv,\n", + " Minimax,\n", + " Rp,\n", + " Schulze,\n", + " Raynaud,\n", + " SmithIRV,\n", + " ],\n", + " nvot=51,\n", + " ncand=5,\n", + " niter=3000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "manyMethods.saveFile(\"manymethods\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ef0bee3f", + "metadata": {}, + "outputs": [], + "source": [ + "STARinputs = []\n", + "STARfgs = []\n", + "for targetFunc in [select21, select31, selectRand, select012]:\n", + " STARfgs.extend(\n", + " [(STAR.diehardBallot, targetFunc, {\"intensity\": i}) for i in STAR.diehardLevels]\n", + " + [(STAR.compBallot, targetFunc, {\"intensity\": i}) for i in STAR.compLevels]\n", + " )\n", + " STARfgs.append((STAR.vaBallot, targetFunc, {\"info\": \"e\"}))\n", + " STARfgs.append((STAR.vaBallot, targetFunc, {\"info\": \"p\"}))\n", + " STARfgs.append((STAR.bulletBallot, targetFunc))\n", + "for bg in [STAR.honBallot, STAR.vaBallot, STAR.bulletBallot]:\n", + " STARinputs.append((STAR, bg, STARfgs, {\"pollingUncertainty\": 0.4}))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5b60bc4f", + "metadata": {}, + "outputs": [], + "source": [ + "bulletSTAR = CsvBatch(\n", + " KSModel(), STARinputs, nvot=31, ncand=6, niter=500, pickiness=0.7, pollingError=0.15\n", + ")\n", + "bulletSTAR.saveFile(\"bulletSTAR\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8553576e", + "metadata": {}, + "outputs": [], + "source": [ + "STARinputs2 = []\n", + "STARfgs2 = []\n", + "for scoreWeight in [0.01 * N for N in range(20)]:\n", + " STARfgs2.append(\n", + " (STAR.vaBallot, selectRand, {\"info\": \"e\", \"scoreImportance\": scoreWeight})\n", + " )\n", + "for bg in [STAR.honBallot, STAR.vaBallot]:\n", + " STARinputs2.append((STAR, bg, STARfgs2, {\"pollingUncertainty\": 0.3}))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0f0219dd", + "metadata": {}, + "outputs": [], + "source": [ + "starCalib = CsvBatch(\n", + " KSModel(),\n", + " STARinputs2,\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=50000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "starCalib.saveFile(\"STARcalib\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a31bd2a8", + "metadata": {}, + "outputs": [], + "source": [ + "starCalib.rows[5]" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "e157e15e", + "metadata": {}, + "outputs": [], + "source": [ + "star0ifgs = [\n", + " (STAR.zeroInfoBallot, selectRand, {\"exponent\": 1 + i / 10, \"bottomSD\": j})\n", + " for i in range(10)\n", + " for j in [2, 1.5, 1, 0.5, 0]\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "48d84405", + "metadata": {}, + "outputs": [], + "source": [ + "star0i = CsvBatch(\n", + " KSModel(),\n", + " [(STAR, STAR.honBallot, star0ifgs, {})],\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=50000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "star0i.saveFile(\"STAR0i\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cd254f21", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8cb59dda", + "metadata": {}, + "outputs": [], + "source": [ + "deciderStrat = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "deciderStrat.saveFile(\"dstrat\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "037af90a", + "metadata": {}, + "outputs": [], + "source": [ + "deciderStrat.rows[15]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a1fd8da9", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "ms = [STAR, Score, Approval, ApprovalTop2, Irv, Minimax]\n", + "bulletResults = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (\n", + " method,\n", + " hybridStrat,\n", + " [],\n", + " {\n", + " \"stratTuples\": (\n", + " (method.bulletBallot, i / 10),\n", + " (method.honBallot, 1 - i / 10),\n", + " )\n", + " },\n", + " )\n", + " for method in ms\n", + " for i in range(11)\n", + " ]\n", + " + [\n", + " (\n", + " method,\n", + " hybridStrat,\n", + " [],\n", + " {\n", + " \"stratTuples\": (\n", + " (method.bulletBallot, i / 10),\n", + " (method.vaBallot, 1 - i / 10),\n", + " ),\n", + " \"pollingUncertainty\": 0.4,\n", + " },\n", + " )\n", + " for method in ms\n", + " for i in range(11)\n", + " ],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=2000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5dffce7c", + "metadata": {}, + "outputs": [], + "source": [ + "bulletResults.saveFile(\"bulletresults\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2019d1a", + "metadata": {}, + "outputs": [], + "source": [ + "pollingError = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax, Borda],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.2,\n", + ")\n", + "pollingError.saveFile(\"pollingerror\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "877b0632", + "metadata": {}, + "outputs": [], + "source": [ + "pollingError.rows[1000]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b290fb6f", + "metadata": {}, + "outputs": [], + "source": [ + "abstentions = CsvBatch(\n", + " KSModel(),\n", + " [Plurality, Approval, ApprovalTop2, STAR, Score, Borda, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=500,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "abstentions.saveFile(\"abstentions\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7eefe6a0", + "metadata": {}, + "outputs": [], + "source": [ + "condorcetResults = CsvBatch(\n", + " KSModel(),\n", + " [Irv, Minimax, Rp, Schulze, Raynaud, SmithIRV, Sass],\n", + " nvot=51,\n", + " ncand=7,\n", + " niter=2000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "condorcetResults.saveFile(\"condorcet\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "77beb6ff", + "metadata": {}, + "outputs": [], + "source": [ + "condorcetGoodPolls = CsvBatch(\n", + " KSModel(),\n", + " [Irv, Minimax, Rp, Schulze, Raynaud, SmithIRV, Sass],\n", + " nvot=51,\n", + " ncand=7,\n", + " niter=2000,\n", + " pickiness=0.2,\n", + " pollingError=0.05,\n", + ")\n", + "condorcetGoodPolls.saveFile(\"condorcetlowerror\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4e5b0e07", + "metadata": {}, + "outputs": [], + "source": [ + "honInputs = [\n", + " (m, m.honBallot, [], {})\n", + " for m in [\n", + " Plurality,\n", + " PluralityTop2,\n", + " Approval,\n", + " ApprovalTop2,\n", + " STAR,\n", + " Score,\n", + " Borda,\n", + " Irv,\n", + " Minimax,\n", + " Rp,\n", + " Schulze,\n", + " Raynaud,\n", + " SmithIRV,\n", + " SmithScore,\n", + " RankedRobin,\n", + " ITRV,\n", + " SmithITRV,\n", + " ]\n", + "]\n", + "honOnly = CsvBatch(KSModel(), honInputs, nvot=51, ncand=7, niter=30000)\n", + "honOnly.saveFile(\"honest\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "82530d5b", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "len(honOnly.rows)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "868a7aef", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/run sims for paper-checkpoint.ipynb b/.ipynb_checkpoints/run sims for paper-checkpoint.ipynb new file mode 100644 index 0000000..ff4aad7 --- /dev/null +++ b/.ipynb_checkpoints/run sims for paper-checkpoint.ipynb @@ -0,0 +1,308 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "74b51e60", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *\n", + "import random\n", + "import datetime\n", + "\n", + "\n", + "base_nvot = 101\n", + "base_ncand = 6\n", + "base_inner_niter = 1000\n", + "base_pickiness = 0.7\n", + "base_pollingError = 0.1\n", + "base_outer_niter = 4\n", + "main_outer_niter = 10" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "210e9520", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ad3c82ec", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/base_scenario\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9fe17e43", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ab579039", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " RandomModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/impartial_culture\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6e1f5bd5", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=2, dimWeights=[1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/2d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c4c0fe26", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/3d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75d9e9b4", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=3,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/3cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a61bbadd", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=9,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/9cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e5ecf7bd", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=12,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/12cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "65a8c815", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=0.99,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/plurality_picky\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b3e3b750", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=0.0,\n", + " )\n", + " basic.saveFile(\"output/no_noise\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "97270ba8", + "metadata": {}, + "outputs": [], + "source": [ + "%%time\n", + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " noStrats = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (STAR, STAR.honBallot, [], {}),\n", + " (STAR, STAR.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Plurality, Plurality.honBallot, [], {}),\n", + " (Plurality, Plurality.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (PluralityTop2, PluralityTop2.honBallot, [], {}),\n", + " (PluralityTop2, PluralityTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Approval, Approval.honBallot, [], {}),\n", + " (Approval, Approval.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (ApprovalTop2, ApprovalTop2.honBallot, [], {}),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Irv, Irv.honBallot, [], {}),\n", + " (Irv, Irv.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Minimax, Minimax.honBallot, [], {}),\n", + " (Minimax, Minimax.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " ],\n", + " nvot=5001,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " noStrats.saveFile(\"output/nostrats\")\n", + "del noStrats" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/.ipynb_checkpoints/vse2-checkpoint.py b/.ipynb_checkpoints/vse2-checkpoint.py new file mode 100644 index 0000000..92697ba --- /dev/null +++ b/.ipynb_checkpoints/vse2-checkpoint.py @@ -0,0 +1,87 @@ +from mydecorators import autoassign, cached_property, setdefaultattr, timeit +from methods import * +from voterModels import * +from dataClasses import * +from debugDump import * +from stratFunctions import truth +import random +import csv +import os + + +class CsvBatch: + # @timeit + # @autoassign + def __init__( + self, + model, + methodsAndStrats, + nvot, + ncand, + niter, + r1Media=truth, + r2Media=truth, + seed=None, + ): + """methodsAndStrats is a list of (votingMethod, backgroundStrat, foregrounds). + A voting method my be given in place of such a tuple, in which case backgroundSrat and foregrounds + will be determined automatically. + foregrounds are (targetSelectionFunction, foregroundStrat, foregroundSelectionFunction) tuples. + foregroundSelectionFunction is optional. + nvot and ncand gives the number of voters and candidates in each election, and niter is how many + electorates will be generated and have all the methods and strategies run on them. + """ + self.rows = [] + if seed is None: + seed = str(niter) + self.seed = seed + random.seed(seed) + ms = [] + for m in methodsAndStrats: + if issubclass(m, Method): + fgs = [] + for targetFunc in [select21, select31]: + fgs.extend( + [ + (paramStrat(m.diehardBallot, intensity=i), targetFunc) + for i in m.diehardLevels + ] + + [ + (paramStrat(m.compBallot, intensity=i), targetFunc) + for i in m.compLevels + ] + ) + fgs.append((swapPolls(m.lowInfoBallot), targetFunc)) + ms.extend((m, bg, fgs) for bg in [m.honBallot, m.lowInfoBallot]) + else: + ms.append(m) + for i in range(niter): + if i > 0 and i % 10 == 0: + print("Interation:", i) + electorate = model(nvot, ncand) + for method, bgStrat, fgs in ms: + result = method.threeRoundResults( + electorate, bgStrat, fgs, r1Media=r1Media, r2Media=r2Media + ) + self.rows.extend(result) + for row in self.rows: + row["voterModel"] = str(model) + + def saveFile(self, baseName="SimResults"): + """print the result of doVse in an accessible format. + for instance: + + csvs.saveFile() + """ + i = 1 + while os.path.isfile(baseName + str(i) + ".csv"): + i += 1 + with open(baseName + str(i) + ".csv", "w") as myFile: + dw = csv.DictWriter(myFile, self.rows[0].keys(), restval="NA") + dw.writeheader() + for r in self.rows: + dw.writerow(r) + + +def compareStrats(method, model, backgroundStrat, nvot, ncand, niter): + pass diff --git a/.sourcery.yaml b/.sourcery.yaml new file mode 100644 index 0000000..60cf71b --- /dev/null +++ b/.sourcery.yaml @@ -0,0 +1,67 @@ +# 🪄 This is your project's Sourcery configuration file. + +# You can use it to get Sourcery working in the way you want, such as +# ignoring specific refactorings, skipping directories in your project, +# or writing custom rules. + +# 📚 For a complete reference to this file, see the documentation at +# https://docs.sourcery.ai/Configuration/Project-Settings/ + +# This file was auto-generated by Sourcery on 2022-12-31 at 11:29. + +version: "1" # The schema version of this config file + +ignore: # A list of paths or files which Sourcery will ignore. + - .git + - venv + - .venv + - env + - .env + - .tox + +rule_settings: + enable: + - default + disable: [] # A list of rule IDs Sourcery will never suggest. + rule_types: + - refactoring + - suggestion + - comment + python_version: "3.9" # A string specifying the lowest Python version your project supports. Sourcery will not suggest refactorings requiring a higher Python version. + +# rules: # A list of custom rules Sourcery will include in its analysis. +# - id: no-print-statements +# description: Do not use print statements in the test directory. +# pattern: print(...) +# replacement: +# condition: +# explanation: +# paths: +# include: +# - test +# exclude: +# - conftest.py +# tests: [] +# tags: [] + +# rule_tags: {} # Additional rule tags. + +# metrics: +# quality_threshold: 25.0 + +# github: +# labels: [] +# ignore_labels: +# - sourcery-ignore +# request_review: author +# sourcery_branch: sourcery/{base_branch} + +# clone_detection: +# min_lines: 3 +# min_duplicates: 2 +# identical_clones_only: false + +# proxy: +# url: +# ssl_certs_file: +# no_ssl_verify: false diff --git a/CIDresultsgen.ipynb b/CIDresultsgen.ipynb new file mode 100644 index 0000000..bc60ffe --- /dev/null +++ b/CIDresultsgen.ipynb @@ -0,0 +1,1295 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "03bcaeac-fa08-45c6-a8fb-63c49188ba86", + "metadata": {}, + "outputs": [], + "source": [ + "from cid import *" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "361a15fb-f151-436d-901d-3b6ec4666faf", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plur = CID(KSModel(), [Plurality], 96, 6, 20000, numBuckets=48)\n", + "plur.saveFile(\"plurOnly\", False)\n", + "plur.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "1061af15-7978-4e81-af8b-fd815eb14e04", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "basesw = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 10000,\n", + ")\n", + "basesw.saveFile(\"basesw\", False)\n", + "basesw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "945f679d-afe1-4bea-abe4-c4a33a865a8c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "minimw = CID(\n", + " KSModel(),\n", + " [\n", + " SNTV,\n", + " STV,\n", + " MinimaxSTV,\n", + " AllocatedScore,\n", + " ASRunoffs,\n", + " (ASRDroop, STAR.zeroInfoBallot, {\"exponent\": 3}),\n", + " ],\n", + " 72,\n", + " 10,\n", + " 1000,\n", + " 4,\n", + ")\n", + "minimw.saveFile(\"mwminimax\", False)\n", + "minimw.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "6ceb7ea0-d456-40d7-9480-630bb46518ee", + "metadata": {}, + "outputs": [], + "source": [ + "basemw.saveFile(\"basemw\", False)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "5f2fc983", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mwpickycid = CID(\n", + " KSModel(),\n", + " [\n", + " STV,\n", + " (SPAV, Approval.zeroInfoBallot, {\"pickiness\": 0.6}),\n", + " (AllocatedScore, STAR.zeroInfoBallot, {\"exponent\": 4}),\n", + " (AllocatedScore, STAR.zeroInfoBallot, {\"exponent\": 10}),\n", + " (SSS, STAR.zeroInfoBallot, {\"exponent\": 4}),\n", + " (SSS, STAR.zeroInfoBallot, {\"exponent\": 10}),\n", + " (SequentialMonroe, STAR.zeroInfoBallot, {\"exponent\": 4}),\n", + " (SequentialMonroe, STAR.zeroInfoBallot, {\"exponent\": 10}),\n", + " (ASRDroop, STAR.zeroInfoBallot, {\"exponent\": 4}),\n", + " (ASRDroop, STAR.zeroInfoBallot, {\"exponent\": 4}),\n", + " ],\n", + " 72,\n", + " 10,\n", + " 1000,\n", + " 4,\n", + ")\n", + "mwpickycid.saveFile(\"mwpicky\")\n", + "mwpickycid.chart(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "498406df", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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xyNtvv10OHjxYpqSkyEWLFkkppdyxY4ccMmRIzd9y37590mKxyEsuuUQmJSXJfv361fT36quvlocPH67pU1lZWc1xW3/u24La//etxmu9pVxwR/OedbuV5+fffMZinEnfgY2yAZ3qs3DBQogAQCOlLPccTwSea86XUDUv//Yye4pa1mOzd1hvHhv6WIP3GwsXXM23335LYmIiAPPmzeOZZ54hOjqaa665hscff5ykpCQ0Gg1bt24lOTmZ+fPn18ShSUlJYcuWLVxxxRVcccUVlJeX84c//IExY8bgcDiYMWMGixcvJjIyki+++IK//e1vfPLJJwCUlJSwcuVKrFYrPXv2ZNmyZSQkJDB9+nTeffddHnzwwTpyVlRUMHz4cGbNmsWjjz7Khx9+yJNPPslzzz3Hxo0beeutt8jJyeGxxx4jPT2d0NDQmiQlV111FaDE0pFScujQoTrmlE8++YSwsDCqqqoYMmQIU6dOJTw8vN53+s0337Blyxa2bt1KQUEBQ4YMYfTo0bz00ku89NJL/Pjjj3XKu1wuNJq61sTff/+95njv3r18/PHHjBw5kv/7v//jnXfe4eGHH665n5+fz5133smqVavo1q0bRUVFdep66623+Pnnn1m0aFHNL43aREREsGnTJt555x1ee+01PvroI2bNmsW4ceP45JNPKCkpYejQoVx00UW89957PPDAA9x00001v/S+//57YmJi+O677wBqsnp988039b4flVaiLAfKc05/grWa6uiSOxe1W3fJ5oYLfriJZwCigTWeYGW/Ad9JKX9s4pl2R2Phgm+66SZSUlJYu3Ytr732Grm5uRw4cIBRo0aRkJCATqdjx44dwIlkH06nk8WLF3PttdcCSvCy2rz++uv4+flx7733snfvXnbs2MGECRNISUnhhRde4OjRozVlr7/+ekBRcN26dSMhIQGAW2+9lVWr6ljCACVccXX2qEGDBtVr//39999JTU0lMjISnU7HTTfdVKeuFStWsGPHDrZv3859992HxWIB4F//+hfJyckMHz6cI0eO1AnQdjJr1qxh2rRpaLVaoqOjGTNmTB2FXRspJVu3bqVz584N1telSxdGjhwJwM0338yaNWvq3F+/fj2jR4+mW7duAISFhdXc+/e//80PP/zA119/Xa9yB5gyZQpQ9539/PPPvPTSS6SkpJCamorVauXw4cOMGDGCF198kZdffpmsrCz8/PxITExk6dKlPPbYY6xevZrg4OAG+6LSimQ3kqLPW3pUu0v+1jIytTDejODXAHXCBXtTsZTyEJDcfNFOpbGRti9pKFzw559/Xicv67/+9S+Ki4trFElZWRnz58/nhRdeYNq0aUycOJExY8aQlJREVFTUKe0sW7aMhQsXsnbtWkBRbv369WPdunX1yhUQEFBTzhv0ej3C4+ur1WpxOp2nlPG2rvj4eKKjo9m1axeVlZUsXbqUdevW4e/vX6PwGsLbNlwuF927d8dgMHDppZc2WE6c5L988rmU8pRr1fTv358tW7Zw9OjRmr/byVQr/trvTErJ119/Ta9eveqU7dOnD8OGDeO7775j0qRJfPTRR4wbN4709HS+//57Hn/8cSZOnMjTTz/deOdVfE92uuLq2CGx+XV0T1XqOPALxI1sMdFaCm9G8OuklDYp5TZ5Ilxw/RrnHMSbcMHVzJs3jx9//JHMzEwyMzNJT0+vSdEXHx9PeHg4f/3rX+sNE5yVlcWf/vQnPv30U/z8/ADo1asX+fn5NQre4XCwc+fOU57t3bs3mZmZHDhwAFBGpSebkbxl2LBhrFy5koKCAlwuF/Pmzau3rry8PDIyMoiNjaW0tJTQ0FD8/f3Zs2dPk7HxR48ezRdffIHL5SI/P59Vq1YxdOhQAgMDa34RgKJQs7KyGDJkCF988UWD9R0+fLjmHc2bN49Ro+rG6R4xYgQrV64kIyMDoI6JZsCAAbz//vtcccUV5OR47w0xadIk3nzzzZovq82bNwNw6NAhunfvzv33388VV1zBtm3byMnJwd/fn5tvvpmHH36YTZs2ed2Oig/J3gjR/UFvan4dpiDoMrzdJuNuUMELIToIIQYBfkKIAUKIgZ4tFThvkoh6Ey4YFBe/w4cPM3z48Jpr3bp1IygoiA0blNVu06ZNY8+ePVx99dU1ZVJSUgCYO3cuhYWFNWafSy65BIPBwIIFC3jsscdITk4mJSWl3siWJpOJOXPmcO2115KYmIhGo+Gee+5pVn87duzI3//+d8aOHUtycjIDBw7kyiuvrLk/duxYUlJSGDt2LC+99BLR0dFMnjwZp9NJUlISTz31VJ13UB9XX301SUlJJCcnM27cOF555RU6dOhAUlISOp2O5OTkGg8YgISEhFPs5rXp06cPn376KUlJSRQVFfHHP/6xzv3IyEg++OADpkyZQnJyco1pq5pRo0bx2muvcemll9a4dDbFU089hcPhICkpif79+/PUU08B8MUXX9C/f39SUlLYs2cP06dPZ/v27QwdOpSUlBRmzZrFk08+6VUbKj7E7YbszWdmnqmm50WQux3Kjp15XS1NQ7OvwK3ACqAcxe6+wrMtBqY09NyZbO3Ri6a1qe1JcT5SX/9ffvll+cgjj9RbPiMjQ/br18/XYrUKqhfNitZrLG+PlM8ESbnpP2de17HtSl3pnzW7Cl950TQ4gpdSfiqlHAvcJqUcJ6Uc69mulFKq0/8qrcaUKVP49ddf6yx0UlE5I043gmRjRPeDwJh2GV3Sm4QfX7eGICoqDdGjR49TPGOqiYuLq/FUUlHxmux0MARCRM8zr0sI6DEedv0PXE7QeuO70jqosWhUVFTOP7xN0ectPSeArRSOti93SVXBq6ionF84rHB8R8uYZ6qpdpdsZ9ElG/wtIYSY0tiDqh1eRUXlrCR3B7gdLavgTcGKu+SBX+CiZ1qu3jOkMWPR5Y3ckyhp/FRUVFTOLqonWDu3cIqKnhfB0plQfhwCO7Rs3c2kMS+a2xvZ/q81hWwPLFy4ECEEe/YoC3kzMzPp378/AGlpaTUhAFqK119/ncrKytN6prYcubm5XHbZZSQnJ9O3b18uueSSFpVPReWsJTsdAjtCUEzL1tsOk3F7ZYMXQlwqhHhUCPF09eZrwdob1Sskq1em+prmKPjaPP3000yYMIGtW7eya9cuXnrppTOWqb7QBioqZx3VKfpamuh+yhfHwRUtX3cz8Sbhx3vA9cAMlFg01wL1r9U/R7FYLKxdu5aPP/64SQVfVFTEVVddRVJSEsOHD2fbtm01ddx+++0kJiaSlJTE118r3qd//OMfGTx4MP369eOZZxTb3b/+9S9ycnIYO3YsY8eOBZTgViNGjGDgwIFce+21NUv6f/zxR3r37s2oUaPqRCc8duxYnQBdSUlJNcevvPIKiYmJJCcn89e//hVQQjAMHz6cpKQkrr76aoqLiwElKcUTTzzBmDFjeOONN0hPT2fMmDEMGjSISZMmcexYO1y9p6LSEFXFUHjg9DM4eYMQ0DEF8hpOMtPaeOOweYGUMkkIsU1K+awQ4h+0kf39+IsvYtvdsuGCjX160+GJJxots2jRIiZPnkxCQgJhYWFs2rSpTkTC2jzzzDMMGDCARYsWsXz5cqZPn86WLVt4/vnnCQ4OZvv27QA1CnTWrFmEhYXhcrkYP348kydP5v7772f27NmsWLGCiIgICgoKeOGFF1i6dCkBAQG8/PLLzJ49m0cffZQ777yT5cuX06NHjzpL8O+9916uv/563nrrLS666CJuv/12YmJi+OGHH1i0aBEbNmzA39+/JgTA9OnTefPNNxkzZgxPP/00zz77LK+//jpwIiyxw+FgzJgxDYYvVlFp9+QoMYN8MoIHiOylmGjaiT+8NyaaKs++UggRAziA+sPunaPMmzePG264AYAbbriBefPmNVh2zZo13HLLLQCMGzeOwsJCSktLWbp0Kffee29NudDQUAC+/PJLBg4cyIABA9i5c2eNjb8269evZ9euXYwcOZKUlBQ+/fRTsrKy2LNnD926daNnz54IIbj55ptrnpk0aRKHDh3izjvvZM+ePQwYMID8/HyWLl3K7bffjr+/Ek4oLCyM0tJSSkpKaoKKnRxuuHZY4sbCF6uotHuOVqfoG+Cb+iN7Kx46xRm+qf808eYrZokQIgR4FdiE4kHzkS+FaoimRtq+oLCwkOXLl7Njxw6EELhcLoQQ/OlPf6q3vKwnFK4Qot6QtRkZGbz22mv8/vvvhIaGctttt2Gz2eqtc8KECad8sWzZsqXBMLigKO8bb7yRG2+8kcsuu4xVq1Y1Gjq3IWqHJW4sfLGKSrsnOx0iEhS3Rl8Q6Qkfnb+nZVbJniFNjuCllM9LKUs8IQtigd5Syqd8L1r7YMGCBUyfPp2srCwyMzM5cuQI3bp1a3DkOnr0aD7//HNA8WqJiIggKCiIiRMn8tZbb9WUKy4upqysjICAAIKDg8nNzeWHH36ouR8YGFiTn3P48OGsXbu2JhxwZWUl+/bto3fv3mRkZHDw4EGAOl8Ay5cvr5mkLS8v5+DBg3Tt2pWJEyfyySef1NwrKioiODiY0NDQmoTbDYUb9jZ8sYpKu0RK302wVhOhJN0hv2VNyc2lyRG8EMIf+AvQVUp5pxCiqxDiQinlEt+L1/bMmzevZiKymqlTp/Liiy/WW37mzJncfvvtJCUl4e/vX5Mc5Mknn+Tee++lf//+aLVannnmGaZMmcKAAQPo168f3bt3r8lKBHDXXXdx8cUX07FjR1asWMHcuXOZNm1azQj/hRdeICEhgQ8++IBLL72UiIgIRo0aVROXJT09nfvuuw+dTofb7eaOO+5gyJAhgDLyHzx4MAaDgUsuuYQXX3yRTz/9lHvuuYfKykq6d+/OnDlzTulbdfji+++/n9LSUpxOJw8++CD9+vU78xetouJrSo9CRZ5vFbzRDMFdIX+v79o4HRoKM1m9AV8AjwI7POd+wJamnmvOpoYLVsMFn8/9V8MFr/BtAzsWKmF9j270bTv/nirluyNP65FWDxdci3gp5Ssok6tIKatQ3CVVVFRUzh6y00FrULI4+ZLIXlCwH9wu37bjBd4oeLsQwg9lchUhRDxw6kygioqKSnsme5OSf1VXf3L1FiOyNzitUJLl23a8wBsF/wzwI9BFCPE5sAzFZKOioqJyduB2KT7wnVo4/kx9RPZW9u3ADu9Nwo9fhBCbgOEoppkHpJTeJa5UUVFRaQ/k7wVHhW8nWKuJrOVJ0+ti37fXCN4utRoDjEIx0+iBhT6TSEVFRaWlackUfU1hClZi0rSDEbw3sWjeAe4BtgM7gLuFEG/7WjAVFRWVFiM7XVG8Yd1bp73IXmeHgkcZvU+SUs6RUs4BLgFSfSpVO2PWrFn069ePpKQkUlJS2LBhA0uWLGHAgAE14Xjff/99QFnOn5qaSkpKCn369OGuu+5qY+lVVFSUFH0DQdNKSewieysKvp6V7a2JNyaavUBXoHpKuAuwzdsGhBBaYCOQLaVs2aDprcC6detYsmQJmzZtwmg0UlBQQEVFBVdffTW//fYbnTt3xmazkZmZCcD999/PQw89xJVXXglQE1xMRUWljXBUQe5OGPVQ67UZ2Uux+ZcehZAurdfuSXij4MOB3UKI6myyQ4B1Qoj/AUgpr2ji+QeA3UBQs6VsQ44dO0ZERARGo+JaFRERgUajwel0Eh4eDoDRaKRXr1415WuH6U1MTGx9oVVUVE5wbCtIV+vY36up7UnTzhV8s5N7CCE6A5cCs4A/N7eealZ/uY+CI5YzraYOEV3MXHhdQoP3J06cyHPPPUdCQgIXXXQR119/PWPGjOGKK64gNjaW8ePHc9lllzFt2jQ0Gg0PPfQQ48aN44ILLmDixIncfvvthISEtKjMKioqp8GhNEBA1+Gt12aNgt+jpPJrI4T0wkYkhOgADEXxovldSnncq8qFWAD8HQgEHq7PRCOEuAu4CyA6OnrQ/PnzsVgsmM1mAIKDg+nRowcAvy8+TFFO87Mc1UdYjD9DruzaaBmXy8Wvv/7KqlWrmDNnDs8++yw33XQTO3fuZMWKFcyfP5/+/fvz3nvvAcoofunSpXz33Xfs37+fX3/9teYXQFO4XC60Wu0Z9+ts5Xzuf+2+HzhwgNLS0jaWqHWp/X/fkgzY9ChCSjYNerXF626MC9ZOpzB8CHt7z2iy7Jn0fezYselSyvod/BuKYVC9AXcAh4G5wKdAJvB/Xjx3GfCO5zgVWNLUM2dDLJqvvvpKXnbZZXWu5efnS7PZXG/5fv36yY0bvY99cT7HYpHy/O6/GotmRctXWlEo5cwQKZe/2PJ1N8WcS6X88CKvirZlLJpHgAFSytuklLcCg4DHvHhuJHCFECITmA+ME0L8x4vn2hV79+5l//79NedbtmwhOjqatLS0OtdiY5Ushj/++CMOhwOA48ePU1hYSKdOnVpVZhUVFQ+HVoB0Q4/TM5MUV9j585dbSM8qbn7b1a6SbehJ440N/ihQXuu8HDjS1ENSyseBxwGEEKkoJpqbG3umPWKxWJgxYwYlJSXodDp69OjBG2+8wd13383dd9+Nn58fAQEBzJ07F1Bypz7wwAOYTCYAXn31VTp06NCGPVBROY85sAxMIaeVg7W4ws6NH21g97EyNhwq4ueHRhNgbEb6vcjeYCuF8uMQ1PH0n28BvJE6G9gghFiMYoO/EvhNCPFnACnlbB/K1+YMGjSIX3/99ZTr33//fb3lZ8+ezezZ5/QrUVE5O5BSyY8aPw403s3rVCv3g/kWHp6YwD9+2ccrP+7h2SubEYGydnandqzgD3q2ahZ79oHeNiKlTAPSvJZKRUVF5UzJ3QGWXK/NM7WV+4fTBzMmIZLCCjtz1mZyaVIMQ7uFnV77tV0l48eepvAtgzfBxp5tDUFUVFRUWpQDS5V9j/FNFi2qsHPTScod4JFJvVi6O5dHF2zlhwdG42c4DQ+vgEjwC23T9H3exKKJFEK8KoT4XgixvHprDeFUVFRUms2BZUr898DG58AaUu4A/gYdL09JIrOwkn8u3Xd67QtxImRBG+GNF83nwB6gG/Asipvk7z6USUVFReXMsJbB4XVNmmdqK/ePTlLu1VzQI4Ibh3Xlo9WH2Hz4NL1qIntB/u4286TxRsGHSyk/BhxSypVSyv9DiQ2voqKi0j7JWAVuZ6MK/mTlProe5V7N4xf3JjrIxKMLtmFznkYqvsjeUFUMFW2TQsMbBe/w7I8JIS4VQgwAOjf2gIqKikqbcmApGAKh89B6b1cr90NeKHeAQJOeF6cksj/PwlvLD3gvR21PmjbAGwX/ghAiGPgL8DDwEdCKYdnanvrCBbclaWlpdVw333vvPT777LNGn5k5cyavvfYaALfddhv+/v6Ul59Y3vDAAw8ghKCgQE3WpXKWI6Vif+8+BnSGU24XVdi58cP1HPLY3JtS7tWM7RXF1IGdeSftIDuyvQwjUTsmTRvgjRfNEs9hKdA2vj5tSH3hgu12e5vKlJaWhtls5oILLgDgnnvuOe06evToweLFi7n55ptxu92sWLGixVbcOp1OdLpmLAxRUWkJCvZD6WG48NRxaLVyzyioOC3lXs1Tl/Vh1f58Hlmwjf/dNxK9tokxcmBH5ZdEG020tlL0+7OX+sIFx8TEkJ6ezpgxYxg0aBCTJk3i2LFjAKSnp5OcnMyIESN45JFH6N9fWSAxd+5c7rvvvpp6L7vssppwBz///DMjRoxg4MCBTJ8+HYtFiZgZFxfHM888w8CBA0lMTGTPnj1kZmby3nvv8c9//pOUlBRWr15dZ3T+4YcfMmTIEJKTk5k6dSqVlfUHZ5s2bRpffPEFoHxhjBw5so5Snj17Nv3796d///68/vrrAGRmZtKnTx/uvPNO+vXrx8SJE6mqqgIgNTWVJ554gjFjxvDGG2+wbNkyBgwYQGJiIv/3f/+HzWareT/1vTcVlRaj2j0yvq57ZG3l/tGtp6/cAUL8DbxwVX92HyvjvbSDTT8ghGKmKWgbBX9WDbNWzP2AvKxDLVpnVGx3xt7WcNal+sIFX3DBBcyYMYPFixcTGRnJF198wd/+9jc++eQTbr/9dt58803GjBnDI4880mT7BQUFvPDCCyxdupSAgACee+45Zs+ezdNPK1GaIyIi2LRpE++88w6vvfYaH330Effccw9ms5mHH34YgGXLltXUN2XKFO68804AnnzyST7++GNmzDg1ml3Pnj1ZvHgxxcXFzJs3j5tvvpkffvgBUJTwnDlz2LBhA1JKhg0bxpgxYwgNDWX//v3MmzePDz/8kOuuu46vv/6am29WIlCUlJSwcuVKrFYrPXv2ZNmyZSQkJDB9+nTeffdd7r333gbfm4pKi3FgKUQkQGhszaWTlfuFPU9fuVczqV8HLkvqyL+W72dS/w4kRDex5jOyNxz4pdntnQnqCL4JzGYz6enpfPDBB0RGRnL99dfz/vvvs2PHDiZMmEBKSgovvPACR48epbS0lJKSEsaMGQPALbfc0mT969evZ9euXYwcOZKUlBT++9//kpWVVXN/ypQpgBIyoTprVGPs2LGDCy+8kMTERD7//HN27tzZYNkpU6Ywf/58NmzYwIUXXlhzfc2aNVx99dUEBARgNpuZMmUKq1evBqBbt26kpKTUK9P1118PKAHaunXrRkKCEmf/1ltvZdWqVezdu7fe96ai0mI4qiBrbR3vmdIqR4sp92qevaIfgSY9j3y1FafL3XjhyF7KitrKojNu93RpcgTvmWCdCVRrgJXAc1LKVg9W3dhI25dotVpSU1NJTU0lMTGRt99+m379+rFu3bo65UpKShBC1FuHTqfD7T7xQbBarYASrnnChAnMmzcPgPLycgIDT4wIqk1DWq0Wp9PZpKy33XYbixYtIjk5mblz59aJenkyN9xwAwMHDuTWW29FUytXpWzEZ7d2XHutVltjogEICAho9HkpZb3vTUWlxchcC05rndWrr/20l/15FubePqRFlDtAuNnIzCv6cf+8zXyyNoO7Rsc3XLh6orVgX+smHcG7EfwnQBlwnWcrA+b4Uqj2RH3hgvv06UN+fn6NonI4HOzcuZOQkBCCg4NZs2YNAJ9//nnNc3FxcWzZsgW3282RI0f47TclA+Lw4cNZu3YtBw4orleVlZXs29f4irnAwMA6HjC1KS8vp2PHjjgcjjrt10fXrl2ZNWsWf/rTn+pcHz16NIsWLaKyspKKigoWLlxYZ4TfFL179yYzM7OmT//+978ZM2YMvXr1qve9qai0GAeWgs4EsSMB2JVTxucbsrhleGyLKfdqLk/qyIS+0fzj530cym8k01wbukp6o+DjpZTPSCkPebZnge6+Fqy9YLFYuPXWW+nbty9JSUns2rWL5557jgULFvDYY4+RnJxMSkpKjdvinDlzuPfeexkxYgR+fn419YwcOZJu3bqRmJjIww8/zMCBSvjSyMhI5s6dy7Rp00hKSmL8+PHs2dP4B+Hyyy9n4cKFNZOstXn++ecZNmwYEyZMoHfv3k327+677yY+vu7oY+DAgdx2220MHTqUYcOGcccddzBgwACv3heAyWRizpw5XHvttSQmJqLRaLjnnnswGAwNvjcVlRbhwFKIGwV6P6SUzPzfTkL8DTx0UcNpOZuLEIIXruqPUafhsa+34XY38Ms3uAvo/dvGk6ahTCDVG7AOGFXrfCSwrqnnmrOdDRmdToeMjAzZr1+/03rmfM5oJOX53X81o9OKM6ugKEPKZ4KkXPeOlFLKxVuyZexjS+R/N2SdsWyN8eXvh2XsY0vk3LUZDRd6b7SUn13V4O22zOh0D/C2ECLTk53pLeBu33zdqKioqDSTAx5vsh4TqLQ7efG73fTvFMR1g7v4tNlrBnVmdEIkL/+4hyNFDeSMbqOgY94o+DIpZTKQBCRJKQdQN8OTSgPExcWxY8eOthZDReX84MAyCImF8HjeXnGA42VWnr2iH1pN/Y4PLYUQgr9PSUQAf/1mW/1OBpG9oCxbCYLWinij4L8GkFKWSSmrpVvgO5FUVFRUThOnHTJWQo+LyCqq5MNVGUwZ0IlBsaeZpKOZdArx4/FL+rD2QCFfbqwno2ltT5pWpEEFL4ToLYSYCgQLIabU2m4DTK0moYqKikpTHNkAdgv0uIjnl+xGrxU8dnHTTgYtyY1Du9K/UxD/WX/41Jtt5EnT2Ai+F3AZEAJcXmsbCNzpc8lUVFRUvOXAL6DRs9rZm6W7c5kxvifRQa07DtVoBBP7dmBHTimFFlvdm6FxoDW2uoJvcKGTlHIxsFgIMUJKqa5MUVFRab8cWIa7y3Ce+fEw3SICuH1kXJuIMTohktm/7GPNgQKuTKkVvE+jVcIntPJEa5M2eFW5KyxcuBAhRI2Putvt5v7776d///4kJiYyZMgQMjIyAGVyNTExkaSkJMaMGVMn9IBWqyUlJYV+/fqRnJzM7Nmz66xwVVFROU3KjkHuDn7XDeBQQQVPX94Xo+40cqe2IImdggnx17NyX/6pNyN7tSsTjUot5s2bx6hRo5g/fz4AX3zxBTk5OWzbto3t27ezcOFCQkJCasqvWLGCbdu2kZqaygsvvFBz3c/Pjy1btrBz505++eUXvv/+e5599tS85t6EJVBRUQEOKu6RL+3vzPjeUYztFdVmomg1glE9Ili9v+BUb5rI3lByGOwVrSaPquC9wGKxsHbtWj7++OMaBX/s2DE6duxYE8Olc+fOhIaGnvLsiBEjyM7OrrfeqKgoPvjgA9566y2klMydO5fp06dz+eWXM3HiRIqKirjqqqtISkpi+PDhbNu2DaDB6zNnzuSWW25h3Lhx9OzZkw8//NAXr0NFpX1xYCmlunB2urrw1GV921oaRidEkl9uY8/xk7zJqydaW9GTxptgY9HAi0CMlPJiIURfYIRU8rS2KiXfHsSe07LffoaYAEIubyRQELBo0SImT55MQkICYWFhbNq0ieuuu45Ro0axevVqxo8fz80331zvcv4ff/yRq666qsG6u3fvjtvtJi8vD4DffvuN7du3ExYWxowZMxgwYACLFi1i+fLlTJ8+nS1btvDMM8/Uex1g27ZtrF+/noqKCgYMGMCll15KTExMs9+Pikq7xuXEuX85P1lTuOPC7sRFBLS1RIz2xLxZtS+fPh2DTtyo8aTZCzHeh/44E7wZwc8FfgKqtcQ+4MGmHhJCmIQQvwkhtgohdgohTrVDnCXMmzePG264AVAiMM6bN4/OnTuzd+9e/v73v6PRaBg/fnyduOxjx44lKiqKpUuXcuONNzZaf+2fcmPHjiUsTPHdXbNmTU3I4XHjxlFYWEhpaWmD1wGuvPJK/Pz8iIiIYOzYsTVBzVRUzkXcR9PR2UvZYhzEvWN7tLU4AHQINtErOpBV+0+yw4d1B42uVe3w3iT8iJBSfimEeBxASukUQniTVtwGjJNSWoQQemCNEOIHKeX65grb1EjbFxQWFrJ8+XJ27NiBEAKXy4UQgldeeQWj0cjFF1/MxRdfTHR0NIsWLWL8eCVM6YoVKwgICOC2227j6aefZvbs2fXWf+jQIbRaLVFRit3Q39+/5l59K+KEEA1er70/+bqKyrnIrjXf0EcKRk26hgBj+8lfNDohgk9/zaLS7sTf4JFLq4fwHpDfeiYab0bwFUKIcEACCCGGo+RnbRRPHJzqGJp6z9ZwoPF2yoIFC5g+fTpZWVlkZmZy5MgRunXrxqpVq8jJyQEUj5pt27YRGxtb51k/Pz9ef/11PvvsM4qKTg32n5+fzz333MN9991XryIePXp0TcjftLQ0IiIiCAoKavA6wOLFi7FarRQWFpKWlsaQIUNa9H2oqLQXSqscsH8pBwy9uXhI29vea3Nhz0jsLjcbDp30f9/KnjTefOX9BfgfEC+EWAtEAtd4U7kQQgukAz2At6WUG5oraFsxb948/vrXv9a5NnXqVG677TbCwsJqco0OHTq0Ts7Vajp27Mi0adN4++23eeqpp6iqqiIlJQWHw4FOp+OWW27hz3/+c71tz5w5k9tvv52kpCT8/f359NNPG71eLcell17K4cOHeeqpp1T7u8o5y/s//sbD8iAFyX9ud79Uh3YLw6jTsHJfPmN71/LqiewNu78FhxX0vl+IJeoNjHNyISF0KCtbBbBXSuk4rUaECAEWAjOklDtOuncXcBdAdHT0oPnz52OxWDCbzQAEBwfTo0f7sK21Bi6XC622eT68L774Imazmfvvv7+FpWo9zqT/Zzu1+37gwIGaeZXzhdr/902RXe7mt/XLeEP/FukDX6M8qKePpTt9XttopaDKzUsXnjC7Ruatpt+u1/h98BtUmONqrp9O309m7Nix6VLKwfXd88aLZivwBfCFlNKLNOKnIqUsEUKkAZOBHSfd+wD4AGDw4MEyNTWVtLQ0UlNTAdi9e3edFHbnOien7DsdjEYjRqPxrH5fZ9L/s53afTeZTKeVZOVcoPb/fWNIKbn54w1cr9+O2y+cQZf9ATTtz+P7gPYQL3y3mx7JQ+kc6lHyuZGw6zWGxJohMbWmrLd9P128eStXAE7gSyHE70KIh4UQXZt6SAgR6Rm5I4TwAy4CWj9n1XnEzJkzefjhh9taDBUVn/LTzuP8eiCfCYYdaHqMa5fKHWBMguIuuXp/wYmL4T1AaFotZIE3oQqypJSvSCkHATeixIXP8KLujsAKIcQ24HfgFynlkuYI6Y0ZSUXlXEH9vDdMld3F80t2c0lEAX72QuhxUVuL1CA9osx0DDaxqnbYAp1RcZdspYlWr/yKhBBxKAm3rwdcwKNNPSOl3Aac8W9Mk8lEYWEh4eHh7W4iRUWlpZFSUlhYiMmkRuSujzm/ZpBdUsW8EUdhMxA/rq1FahAhBKN7RvL9jmM4XW50Ws94uhWzO3ljg9+A4uL4FXCtlPKQz6WqRefOnTl69Cj5+fUE7zkHsVqt5/U/9/nc/+q+m0wmOnfu3NbitDscLjef/prJhT0j6Fq0Djomg7nt4s54w+iESL7YeIStR0tOJB+J7AX7flSSlOgMPm3fmxH8rVLKNrOd6/V6unXr1lbNtzppaWnn3eRabc7n/p/PffeGn3fmkltm46VL4mDxehj1YFuL1CQje4SjEbByX0EtBd8b3E4oOgRRvk1K0qCCF0LcLKX8D3CJEOKSk+9LKetfmqmioqLiAz5dl0mXMD9G63eCdLVr+3s1If4GkjqHsGpfPn+ekKBcrJ3dyccKvrFJ1uqoPYH1bM1z2FRRUVFpBruPlfFbRhG3DI9Fe3AZGIOg89mxSnt0QiTbjpZQUmlXLoT3BESr2OEby+j0vudwqZRybe17QoiRPpVKRUXlnMYt3WSVZWHSmuho7thk+c/WZWHUabhuUGd4fxl0H6PEdjkLGJMQwb+W7WfNgQIuS4oBgz+ExraKJ403Nvg3UfKwNnVNRUVFpV4sdgvbCraxNX8r2/K3sS1/G2X2MgB6h/VmXJdxBNmDkFKe4i1XWulg0eZsrkrpREhFBpQdhTGPtEU3mkVy5xACTTpW7/MoeGg1T5rGbPAjgAuASCFE7WApQcD5uZZcRUWlSdzSTWZZJlvztrI1X9kOlhxEIhEI4kPimRA7geTIZMrsZSw7vIx3t76LRPLvb/7NuK7jGN91PCmRKWg1Wr5KP0KVw8UtI2JhvyfuUvz4tu3kaaDTahjVI4JV+/NPfIFF9oKDy8HlBK3vomA2VrMBxdauQ7G7V1OGl8HGVFRUzg92FuxkVfaqU0bngYZAkiKTmBg7keTIZBIjEwk01A1FcWu/WymoKuD9pe+T7ZfN/D3z+feufxNmCmN0pzEs3RTJwNgk+scEwcJ/Q6fBENKlLbrZbEYnRPLDjuMcyLPQMzpQGcG77FCcCRG+i7XVmA1+JbBSCDFXSpnVUDkVFZXzm1VHVzFj+QyklHVG58mRycQFx6ERTYcSiPCLYGTgSFJTU6lwVLA6ezXLDy/nx8yfsYZUkKUx8efvezOu6iijR/ydoCZrbF+M9oQtWLkvX1HwEbU8adpCwdfCKIT4AIirXV5K2X6XkKmoqLQKe4v28sjKR+gV2osPJnxAiCnkjOsM0AcwOW4yk+MmM33Or+ws3MTlFxSxav9CfomKIHjfR7wfN4R+4f3OvAOtRKcQP+IjA1i1v4A7LuwOkR6Xyfw90Ocyn7XrTZSer1AWBT8JPFJrU1FROY8pqCrgvuX3YdabeXPcmy2i3GuTWVDBqr3F3JIykZl9b2dpZiafRYzBbDBz5093sj1/e4u252su7BnJhkOFWB0uMAZCUGefT7R6o+CdUsp3pZS/SSnTqzefSqWiotKuqXJWcf/y+ym1lfLm+DeJDohu8Tb+vT4LnUZw49CukD4HDTBg5KN8MukTgoxB3PXLXWzN39ri7fqKMQmR2JxufsvwZHmK7AUFba/gvxVC/EkI0VEIEVa9+VQqFRWVdotbuvnbmr+xo2AHL134En3DWz5dXqXdyZcbj3BxYkei/AWkfwoJkyGkKzHmGOZOnkuoKZS7f7mbLXlbWrx9XzCsexgGreZEdMnI3kp+VrfbZ216o+BvRTHJ/IqSfi8d2OgziVRUVNo1b21+i1+yfuEvg//CuK6+mYpbtDmHcquTW0fEwq7FUFkAQ+6oud8hoAOfTPqECL8I7v7lbjblbvKJHC2Jv0HHkG6hJ+LDR/YCZxWUHvZZm97Eg+9Wz9bdZxKpqKi0WxYdWMSH2z9kas+pTO873SdtSCn59NdM+nYMYlBsKPz2IYTFQ/exdcpVK/ko/yjuWXoPG4+3/3Hn6J6R7M0t53ipVRnBg0/t8E0qeCGEvxDiSY8nDUKInkII3037qqiotEt+P/47z657lmEdh/G34X/zWX6GDRlF7M0t59YLYhHHt8HR35TRez2Zm6L8o/hk0id0COjAn5b9id+P/+4TmVqKanfJVfvz63rS+AhvTDRzADvKqlaAo8ALPpNIRUWl3ZFVlsVDaQ/RJbALs1Nno9f4Lg7MZ+syCfbTc0VyJ2X0rveHlBsbLB/pH8knkz4hJiCGPy39E+uPrfeZbGdK7w6BRAUaFTu8XyiYO7TtCB6Il1K+AjgApJRVgJpaSUXlPKHUVsq9y+5FIHh73NsEGXy3zOhYaRU/7czlhiFd8HOVwfYFkHQd+IU0+lyEXwQfT/qYzoGduW/Zffya86vPZDwThBBc2DOSNQcKcLmlYodv4xG83ZM0W3oEjAdsPpNIRUWl3eBwOXhwxYPkWHJ4Y+wbdAnybYiA/244jFtKbh4eC5s/VyYhh9zp1bPhfuF8POljYoNimbFsBmuz1zb9UBswOiGCkkoH27NLTwQd81EeXm8U/DPAj0AXIcTnwDK8yMmqoqJydiOl5Ln1z7ExdyPPjXyOgdG+DSDrcEvm/XaY8b2j6BJigt8/gq4joEN/r+sIM4Xx8cSP6R7SnfuX38/qo6t9KHHzGNUjAiFQzDSRvcBuwWgr8Elb3njR/AJMAW4D5gGDpZRpPpFGRUWl3fDJjk9YdGAR9yTfw2Xdfe9X8ftxFwUWO9NHxMHBZVCcUcc10ltCTCF8NPEj4kPieWDFA6w8srLlhT0Dws1G+scEexS84knjX3nEJ21540VzNcpq1u+klEsApxDiKp9Io6Ki0i74JesXXt/0OhfHXcyfkv/UKm0uzXLQPSKAUT0ilMnVgCjoc0Wz6go2BvPhxA9JCE3gwbQHWX54eQtLe2aMTohg85ESyoPiAQioaCMFDzwjpSytPpFSlqCYbVRUVM5BdhTs4InVT5Acmczzo573mTtkbbYeKeFQqZtbRsSiKc2C/T/DoNtAZ2h2ncHGYD6Y+AF9w/ryl7S/tCs/+dE9I3G5JWtzAP+IthvBN1DGdxHqVVRU2oy9RXuZsXwG4X7hvDH2DYxaY6u0+9m6LIxamDqoM/z+MQgNDL79jOsNMgTx3oT36BzYmUdWPUJBlW9s3afLwNhQzEadxx++d5uO4DcKIWYLIeKFEN2FEP9ECVegoqJyjiClZP6e+dz43Y1o0PDWuLcI9wtvlbYLLTa+3ZbDyBgdQVonbP439L4UgmJapP5AQyCzU2djsVt4ZOUjON3OFqn3TNBrNYyID2fVvnxkZC9lBO8DTxpvFPwMlIVOX6CEDrYC9zb1kBCiixBihRBitxBipxDigTMTVUVFxReU2cv4y8q/MGvDLIZ2HMpXV3xFj1DfJaE4mS82HsHudDM+Vg87voGqYhjqnWukt/QM7cnTI55mY+5G3tr8VovW3VxGJ0RytLiKw/3u4fchb/qkjSZNLVLKCuCvzajbCfxFSrlJCBEIpAshfpFS7mpGXSoqKj5gW/42Hl31KLkVufxl0F+Y3m+6VxmYWgqny83n6w9zQXw4ncxW+P1DxbMk7sIWb+vy+MvZnLeZj3d8THJkMmO7jm36IR8yumcEACty9MQZw8EHcx3eeNEkCCE+EEL8LIRYXr019ZyU8piUcpPnuBzYDXQ6c5FVVFTOFLd0M2fHHG794VYAPr34U27rf1urKneApbvzyC6pYvqIOALL9kHOZsU10kcTu48NfYy+4X3525q/caTcN3Zvb4kNDyA23J9V+303LyBkE3YfIcRW4D0Uu7ur+vrpJP0QQsQBq4D+Usqyk+7dBdwFEB0dPWj+/PlYLBbMZrO31Z9TnM99h/O7/63V93JXOf8p+A+7rLtI8U9hWvg0/DX+Pm+3Pl7+rYrcSsmro/3otfM1OpRsZN2IObh0vpOnwFHAq8dfJUwXxp87/Bm98F1cnab4bJeNNdlOXh4mCQ1q3t9+7Nix6VLKwfXelFI2ugHpTZVp4nkzypfDlKbKDho0SEop5YoVK+T5yvncdynP7/63Rt9/O/abHPfFODnws4Fy/u750u12+7zNhth3vEzGPrZEvrV8v5SWfOmaGSblkr+0Sttph9Nk/7n95TNrn2mV9hri553HZexjS+TbC5Y2uw5go2xAp/o0o5MQQg98DXwupfzGm2dUVFRaHpfbxTtb3uGOn+/AX+/Pfy/9L9f3vr5VfNwb4pO1mRi0Gm4Y0gU2fYZGOpu1crU5jOkyhjsS7+Dr/V+z+MDiVmmzPkbEh6PTCHYUuJou3Ay88We/1bOvnWhbAo0m/RDKJ+djYLeUcnbzxFNRUTlTcity+evqv7IxdyNXxF/B34b9DX9925hkqlm+J5d5vx1m+ohYwv11sHEOxSGJhEb1bjUZ7k25l23523h+/fP0DutNr7BerdZ2NWajjkGxoewoKPFJ/b7M6DQSuAUYJ4TY4tkuOWOJVVRUvGb10dVc++217CzcyaxRs5g1alabK/cjRZU89MVW+nQM4olL+sC+n6D0MNmdWlc96DQ6Xh79MkGGIP6c9mfK7eWt2n41lyfH0CVQo4QPbmEaHMELIcZJKZcLIabUd78pk4uUcg1q3HgVlTZj/p75zNowi4TQBF4d8yrdg9s+06bN6eLe/27C7Za8e9NATHqt4hoZGENh+LBWlyfCL4JXx7zKH376A0+vfZrZqbNb3Wx18/BYOlsz0Gpa101yjGd/eT2bmrJPRaUd82vOr/z9t7+T2jmVzy/5vF0od4Dnl+xi29FSXrsumbiIACg4AAeXw+DbkRptm8g0KHoQDw16iKWHl/LZrs/aRAZf0eAIXkr5jGd/5gEhVFRUWo3M0kweXvkw8SHxvDz6ZUw6U1uLBMCizdn8Z/1h7h7dnUn9OigXN34MGj0MvBXSd7eZbNP7Tmdz3mb+mf5PEiMSfR77vrVo3VUNKioqPqXUVsqM5TPQCR1vjnuzze3t1ezLLefxb7YzNC6MRyZ5JjPtFUrWpr5XQGB0m8onhOD5kc/TydyJR1Y+QmFVYZvK01KoCl5F5RzB6Xby6KpHOWo5yj/H/pNO5vaxcNxic3LPf9IJMOp468YB6LQetbPtS7CVep2Sz9dUByUrtZfy2KrHcLl947rYmqgKXkXlHOEfG//Brzm/8tTwpxgUPaitxQGUhZSPfb2NzIIK3pw2gKggj7nIWgprZkN0InQd3rZC1qJXWC+eHP4kG45v4O0tb7e1OGeMN7ForvUEC0MI8aQQ4hshxLlhoFJROUf4et/X/Gf3f7i5z81M6Vmv41ub8OmvmXy37RgPT+rFiHhP+GEpYcmfoTQbLv2Hz+LONJerelzFlJ5T+HD7h8zeOLvNY9acCd6M4J+SUpYLIUYBk4BPgXd9K5aKioq3pOem88KGFxgZM5K/DP5LW4tTw6bDxcz6fjcX9YnintHxJ25snQc7FkDq49C19V0jveHxoY8zOW4yn+76lEu/uZR7frmHZYeXtYtY8qeDNwq+2hB1KfCulHIx0Pw8WioqKi1GtiWbh1Y8RGdzZ14Z8wo6TftItlZUYee+zzfRIdjEP65NQVPt411wAL57GGJHwYV/blshG8GkM/HqmFf5aepP/DH5j+wv2c+DKx5k0teTeGfLOxyvON7WInqFNwo+WwjxPnAd8L0QwujlcyoqKj6kwlHBjOUzcEonb457kyBDUFuLBIDLLXlg/mYKKuy8e9Mggv090Rqddvj6D0qe1SkfQBv5vZ8OHQI68MeUP/LT1J94Y+wb9AztyXtb32PS15OYsXwGq4+ubteTsd583V8HTAZek1KWCCE6UjcujYqKSivjlm4eX/04h0oO8c5F7xAXHNfWItXw5vL9rN5fwItXJ9K/U/CJG8ufg2Nb4PrPIbh9ePh4i06jY1zXcYzrOo6j5Uf5ev/XfLP/G9KOpNHJ3IlrEq7hqh5XEeEX0dai1sGbjE6VwDe1zo8Bx3wplIqKSuO8tfktVhxZwV+H/pULYi5oa3FqWLkvnzeW7WfKwE5MG9rlxI0DS+HXN2HwH6DP2b0QvnNgZx4Y+AB/Sv4Ty44sY8HeBbyx6Q3e3vw247qOY3zX8fQI7UG3oG7otQ3Hmne7XeRnZZK9ZyfZ27ZBamqLy9pYLJoMlKiR+VLK9jkToqJyHvLdoe/4cPuHTO05lRt739jW4tSQU1LFg/M3kxAVyKyrEk/EdLHkwcI/QmQfmDSrbYVsQfRaPZPjJjM5bjIZpRks2LeARQcW8XPWzwDohI6uQV3pEdKDHiE96B7YjbBSHc6sQo7t3U32nl3YqyoBMAaH4na70LSw2aqxUAXdWrQlFRWVM2Z7/naeXvs0g6IH8bdhf2vTeO61sTvd/OnzTThckndvHoifwaOo3G5Y9EewlcH0xaD3a1tBfUS34G48MuQRHhz4IBllGRwoPsD+vD1k79tFxbY9HDy2lbISAzq3Mn1ZGSQQ3UII69mb+H6DKMuzI3yQLrFJE40nrvtNQHcp5XNCiK5ABynlby0ujYqKSoPkVuTywIoHiPSPZHbq7EZ//rc2s77bxZYjJbxz00C6R9ZKPbfhXcU8c+k/ILpv2wnoY6TbTWleLvlZGRzbv4eS3TtxZxwg2uVCCC0RsX3wT+mErYOJ4yFWchxZHCw5SEnRZi6Y8zVdS3Rw0TUtLpc3k6zvAG5gHPAcUI6SpWlIi0ujoqJSL1anlQdWPECFo4L3JrxHmMmrpGqtwj9/2cen67L4w6huXJLY8cSNnC3wyzPQ+zLF9u5But2UFeRTcCQLt9OJOTycwPDI6hSfZ4zb7cJSWEhJ7nFK845TmpdLRUkx5tBQAiOiCI6MJigqisDwSHT60/+StFVWkH84k4KsTPIPZ5CflUHB4SwcNisAWp2ODj0SGHLFVDr17kdMQh+M/idiAkkpqdq8hZLlCyj7/nuk1Up5pyCkw4EwtKwHujcKfpiUcqAQYrNHuGIhhOoHr6LSSuRX5vPEmifYVbiLN8a+QUJoQluLVMM/f9nHG8v2c82gzkryjmpsFuRX/0elvgMF8XdT8P3/KDiSReGRLAqOHsZhrTq1Mo2GA1//m8DwCALDIz37CMzhEQR5zv2CghFCYK2wUOpR4LUVeWneccry83G7TixIEhoNfoFBVJWVIaX7RHtCYA4NIygiiqDIKIKjogmKjPKcRxMYFk55UQH5WZkUHM4gLyuDgsOZlOXn1VRhCjATERtH/7ETiIztRmTXOMK7xqI3GE/pnrOoiNLF/6NkwQLsBw+i8fcn+PLLCbnuWjYUFKBpYeUO3il4hxBCizLhihAiEmVEr6Ki4mN+zPyRF9a/gNVpZeYFMxnbdWxbi1RDbeX+3MXxHN+3m4IjWcq2+RcKCiOxuvSw5RUA/IKCiewaS/+xFxHRJZaILrFo9QbKCwuwFBawc3M6oQH+lBcVcOzAXvZvWIvLWXflqFanQ2cwYqusqHPdFBhESFQ00d16kDBsJMHRHQiO6kBIdAcCwyPRaLW4nE4sRYWUFeRRlp9HaV4uZfl5lOXncmz/HvauW41016/ahEZDWExnOvbsTdJFFxMZG0dk126Yw8IbnQeRbjcVv66jZMECypctA4cDv5QUOs56gaDJk9EEBCgF09Ka/4doBG8U/L+AhUCUEGIWcA3wlE+kUVFRAZSwv7M2zOKHjB9IjEhk1qhZdAtue7+HalvzJ/9by4b07dzpV0FkWhHvLjgxqjUY9IRrC+nZswcRw6+qUeb+wSH11hndTQljUGIMILWWq6B0u6ksK1WUcmE+5QUFWIoKcNisBEVGExLVwaPIozH6BzQpu1anIzgqmuCo+kMTu10uLMWFlOXlUZqfi6WoEHNYOBFd4wjv1AXdaYywHceOUfLNN5R+/Q2OnBy0ISGE3XgjIddMxdizp9f1nCne+MF/LoRIB8ajpOC7SkrZdpH5VVTOcdZmr+XptU9TZC3ivpT7+EPiH9okBIHDZqXgSBb5mYp5QrE1Z2CvUswrQxCE+XciqmcvIi+aTGRsNyKCtQR+cSUiqjfc/gFomy+30GgICAklICSU6O49WqpbDaLRahXzTEQUnel/2s9LKbGsXEnxvHlUrF4DbjcBF4wg6uG/YL7oIp+YYJrCGy+af0spbwH21HNNRUWlhbC5bTy/7nm+3Pcl8cHxvDn+TfqGt57nSUnucbK2bebIru3kZR6i5FhOjc3a4OdHZGw37N0GsjxXR1JyX56ZPg6TXy23R5cD5lysRIec+tEZKfezjcqNG8n7x2yqNm9GFxVF+N13ETJ1KobOndtULm/+Av1qn3js8e0j2LSKylmIrcqJrcKB2y1Bgtst2V2wm3f3z6HMWcZt3f7IdQnXoSvRk1NUgnRLpJSYQ02ERLdchqYqSzlHdmwla9sWsnZsoTRXCaBlDgsnuntPel9woTJxGNud4MgoXl92gDeX7efasZ2ZNTXpRACxatJegqO/wzWfQGhsi8nZnrHu2UPeP/9JxcpV6KKi6PDss4RMuRrRDO8cX9DYStbHgScAPyFEGYp5BsAOfNAKsnlN6Y8ZaMNMmLqHoA03tZvFHyoqABWlNo4dKCVnfwk5+0sozLF4XBbqMoG7lIPt8D+21VtXWEwA8QOj6DEwirCYpu3OtXE6HOTs3U3W9s0c3r6F44cOgJQY/Pzo0i+JQZdcSdfEFMJiOp/yP1Q9oXrtoM68XJ9yz1gFq/8BA26B/lNPS66zEfvhw+T/603KlixBExxM1CMPE3rTTWhM7SP/bTWNrWT9O/B3IcTfpZSPt6JMp4V0uKnYlIe7zA6ANtiAsXsIxvhgjN1D0IWd2QuXLheOY8exZ2Viz8zEXVaGvktXDHFxGOJi0ZrNTVei0mwsxVaqLA6MfjoMJh16kxatrn0HMy0rrOKYR5nnHCilJFdZjq4zaunYPYj4gd0wh5rIrTrOl/u+JKcym6Edh5Lg7MnApIGK8hSg0QhE9SagMLuCg5vy+P27DH5fkkFoB3/iB51Q9icrZZfTQVH2UbK2bSZrx1aO7t6B02ZDaDR07NmbEVOnEZuYQoceCWh19asCKSX/XLqffzWm3Isz4es7IbwHXPyyL15pu8GRl0fhe+9R/OVXCJ2O8LvvJvwP/4c26PQjeTqLrNgOlmA9WELHoxpIbXl5vZlkfVwIEQr0BEy1rq9qeXFOH6HXYPnhYbTBndDFJIKrO5VlUVRuVmb1Nf5g6OKPqXcUpj5R6EJO9U+VUuIqLMSemXliy8rCnnUER24ZaP3QmEIQpmCEzg/p2gUuO9JpQxNgQhcRgq5DBIaO0ei7xGDo2glDXGe0Zj/QadRfFKeJdEsO7ypi+8qjZO0oPGW0q9VrMJi0GEw6DH46DCYtepMOg5/nmkmHf5CB0I7+hHU0ExBi8NnfQEpJaV4V2fuKyTmgKHVLkQ0Ao7+Ojj1C6DsyhpieIUR0NaPVanC5XczZOYe3D75NcFgwz172LGO6jCEtLY3uKZENttUpIZSksZ2pKLWx/7ds9m44wIbFe9jwjQVTgA1ziAOdwYq9qoTywgIqS0tqng2L6Uzi2Il0TUyhS9/EOgtvGutbk8q95AjMvRycVrhlIRia/lUhnW5cZXZcZTbQCHRhJjQB7cOk0RCusjIKP/6Eos8+QzochF53LeH33IM+Ksr7Oix2bAdLFaV+oARXkbIwSmPW4wqSSLdEnPx+zxBvJlnvAB4AOgNbgOHAOpSVrY099wlwGZAnpTz9KWkvkW43wVdcgTMvH2fuPmyH1+DIy0NoQ9BG9EIb2QtXSQLWvZWwOBNpK0a68tD6VSJdFTjzy3GV2RAaP0WBm4IRpq5o/JMx9DVh8HKOS7rAdlTZWJcP5CvXpcSNBB0YQk3owgLQmvVoApRNG3DSsUN5pjkKqXol4Nn6hWKtcFCwR/L5svWU5lfhF2Rg8MVxRHYJxG5zYq9yYq9yYbc6sVtd2KucODzH5UVW5bhKue52n/hWMPjpCOvoT2jHAMI8W2jHAMyhRq/elb3KSXmRlfJCa919kZXS/CqsFgcAfoF6YnqGMGBCCDE9QwmPCTjlH/ZI2RGeWP04O49tY3yHMdzX74/4OQwc2bmNksyD7FkrsFurcFit2K1V2KuUY4e1iqryMsqLCrEUFmCtsNSp11EJ5QVGhDCj9wshtEMfegyNIaZnV7r0SyIoouEvjvrwSrmX5cCnlyv5VW9djIzqg7Q6cZXacJUqCvyUfZkdt+d91UboNXQxaijI2oku1IQ2zITOs2nDTGgMbRM73m21Uvz55xR88CHu0lKCLruMyPtnYOjatelnbU5sGWXYDpRgO1CC47jiuy+MWozdgzGPjMHUIwRdlD/7Vq6kbwsrdwDR1PJgIcR2lLAE66WUKUKI3sCzUsrrm3huNGABPvNWwQ8ePFhu3LiRtLS0Ov6wp4uUEndFBc7cXJx5ediP5+I4WoYz342r0g80EQjNSS5LQqIxCTTBRkUJBxvRBhrQBhrQBBlOHPvpkE430u5C2t247S7cdhfluZUUZxZTklWMpdCGzSrQINAJ0OHGoNFiEBJ/6cCk06DT6hCyAVODVigKP9CgyBFkQBtsQBtkrLMXei1Fxyo4ureY7L3F5OwvwWF14Reoxy/IgH+gAb9Aw4njIH3NNf8gA6ZAPVrtqTJIt8TpdONyuHHa3bicLs/ec+5QPCvCYgIIqOcX0emSf6ScHWlH2fdbLk6Hm47xwfRP7UT8gKhmmWOklFSVOyg+XkFRTgXFxyoo8mxV5SeUi96krVH2YR0UhV9RaqujwMsLrdgq6y620egEgaEmAsOVLTouiJieIYRE+zf4hWGrrGD+j++SvuZHOuYaMDi965dOb0BvMmHw88MYYCYwPBJzWDiBYeHKKs+wcMxhEQSGheOwazi0JZ+Dm/LI3luMlGAyuNEbNGj1WrQGHRqjHq1Oi1Yn0GgFGp0GrVbjORZotBp0Og1bSiwsOJjHBQM7MGtqIlQ4cFkcOAvKsGcX4MzJxbVnIy6nH9LUBSlNoA1AaE4diUu3FYEVpBWEFSFsoLEjNA4wGBG6QNCYsZS7CDCF4rZpwVX3PWoCdB6l74fWrAepfE5xS6TLs2/kXAiU/6XqL45QE9pwE9pAAwhwV1TgLi3FVVaGq7QMV1kpjqPZFM2dizMvj4Axo4l68EFMffrU0z+J2+LAVa58idmPlGM7WIr9SDm4JegExtggjD1CMMaHYOgUiNDW7d+Z6DwhRLqUcnC9nx8vnrdKKa1CCIQQRinlHiFEr6YeklKuEkLEna6wZ4rT4cJSZKO80E5ZoYnyoijKS4Iot1kpd1qpqLQj3ZJgrQODEFjdEqsErb8es9mIWW8kQKfDrNdh9tdjDjRgDjEREGpEa9AipaSizEleZhm5mWXkZZWRl1WOw6pkddGbtETFhhIdF0hUXBDRcUH4mXVkr9nFoXWZ7DrqpswdBLgwVx0n2nKIDqFuorp3wNglniMVduJie9Z8YJyFVdgySpFVp+aCdEqocktcbkmkQUunGH8IMVKi1WCpdFJZ7qD4eCWV5fYapXwyxgAdBqPuhEJ3uHA7vY8J4h9kIDI2kMiugUR1DSSya5BXJhGX083BzXnsSMvm2MFSdHoNCUOjsZqPc/HVZ+akJYTAP0j5EuuUEFrnXpXF7lH4lRTlKEr/8I5C9vx6IsWB3qhVlHeYiQ7dgmsUeWCYsvcPNCA0AumS2LPLEFotGoMWaXWBUVszaq8oKeZg+gZ2rV/F0R3bEG7oZPIjYfgFdOnWG4PJD72fHwaTCb3Rj+27djHsggvQSwM6lw6NXYOsdOKyOHBb7EinRGPSIkw6NCYtGpMOYdSicelwZRVg37eLiB1bMW9JJ25fFvkh/SgL6oZbo0MKLVKjQ6szojWY0Bn80BqMaHUGdFodOqFFq9GiEwKNG8YKwWRNAMZt5Rzfvq6+vzxSMwi3LENUWUFbgXDk4HZawFGO21GOdJSBrQzptIPLiXS6kG4XOF1IlwvpdCJtNtwVFUrUSaC0+m9oMCMCItH4R6DxDz9xbI5EGANBulFsd9V7zyY8ObwFSt45gefvIZBOPUhjnSTf0u1EVhbirsjHXVGAu7IAWVngOS7EL3kg0X97BX3neJyldkp/zlR+hZTbFYVe7vlFUvtfRoC+cyCBoztj7BGMMTYIoW+bXyDejOAXArcDD6KYZYoBvZTykiYrVxT8ksZG8EKIu0BxH4iOjh40f/58LBYLZi8nL6VbcnSdxFGh/Ex1Wk9uQIlQqg8Avb9nHyBqTIXOKuU5R5VUnq9Uzl32U9vSGpT6XDZP1RowhYBfOPiFCfzCwBDUtInEXiGpOFiJJdNBeWUAEi1aZxXhRbsJL9xOiDYP4jriiO5IZVBHyrQdqKgKwlWiQ+8Q+AkIMArM/uBvEJiEQO8AnQ2EVNq2mSVV4ZLKcElVqMSJ8m5cNmV/YpO4nUr2NKH17DUgdAKNpta1WnuhBdxgLYGqYom1WIkGW/0h1xrBLwxMoZ73Ego6f+W9OColxQclxQeV9g1mCO0hCO0OWoM4rb99S+K0SZxVoPNT/s71/g2dTvRHcjBnlOFf6o9R3wmNrq4tW0o3LmnH7rZhdVVhd1uxUkWhyYIhNIQOEd2QBg0aF2jtoLWB1i7Q2UBjk+gcouZvWKdeIZEa0Lia/hkv3S6kcOLWgVuvQeMQaFwaNE1k2pROG9JRibRX4nJUYne5sGp0VOhNWLQBlIsArFJgc4NdujH62dCH+2EMEZhCTvx/VCvYU/acel3oQKuTCJeTqoICzFodwmZFWJVNY7UirDbl3GZFVFkRNhvC6UQ4neBwKMcOBzidCKcD4XCCZ19zz+1G+plwBwRCcAc0QR0Q/hFo/cLQ6IPRagPR4Y+GxucCJBKXEZxGPPva5xKnERwB4D7NKYUz+dyPHTu2wRF8kwq+TmEhxgDBwI9SynpU4Cnl42hCwdemuSaaBS9vrBl1BdUaaZnDTJhDjGjqMUM0hdPuwlJiw1Jso6LYqhwX2XA63UR1VUbnEZ3MaPVn5tHhsLk4uqeIjM25ZG7Np6pKGYkEVWRj0wVgMyojUIOthLDyQ0RoC4kOdRAcE4Khcyf0naq3GDSBwTiPV2A9UILtYAn2zDKkww0aMHQOxBiv/ERURhQt64nisLkoOGoh/3AZ+Vnl5B8pp+hYpfIzGcU+HRzpR25mOVJKYvuHk5jama59wurYqc/UPNdSSJcL28GDWLfvoGrHbmyZlUhXFLqovgidCemsAtcxdBEuyixlFJWWY3FI3BojBo0Rf6nHLPWYMKLTmhCGAITB/yQThguwg8aB0DioqCrDHGJC6NxoDBJhFGiMoPETCJMOZ+5xqjZtoWrnXqTdjdD5oY3ogCmhL/q4Hhg6xaIJjQKnxG11Ia1OpEsqI30/LRo/nbKZlL3wnFdpBO+t2c+CtJ1EuSv5v6RwLr6wH4aYGLTmE5Om7soSSj+6g8LjVgoTHqKwKpLCnArKCqrqdfs8HfQmLWhcBIWZMfnrMPrrMfrrMPjr6pwb/fXKBHoHf3Q+sMu7q5w4i6y4iq04i21ojNq6JtoA/SnmlZag1U00Qoj64pFu9+zNQFGzpPEB1zxWb9/OCJ1BS0iUPyFRLbewpD70Ri3dkiPplhyJdEt+XJRGuKEbR3eHEBmgITrcRaShBL/Schw5dhzZ5TiysynbeBS3pe5Em8bfH31sLMb4eIzx3TGPjEdj7oK73Igto4zylUcoX3EEdBqMcUEY40Mw9QhB38l8xrP3eqOWjvHBdIw/kYPTYXdReNRC/uFy8g6XU3ysguTxXeg/uhPBkY0nflA8m6zYjpQjtAJDJzPaMN+tcXDk5lK5caNHoW/HduAI2uAEdB0HoI26AF20Djc2rOZyykLzKBCFlOYfozDrCJWlJQiNhs59+tNjSAoVXYy8svFVHPm53BA+iYn+g5AFWZ45oUIcRWXIijKk1aKYKRwOpMOBy2aj1O0GVwNJnIXA2LMnQZPG4T9wAH4DBqDv0qXZ70RKybfbjjHru13kltm49oK+PHZxbyLM9cyr2MrRzLuO0JJ0Qm/9Dz16jT/x7mwuio9XYLe6lEVZbonbLZEeO7mUEumm1nXpKad8RmyVTmyVDrIOHSUwyISt0kFJXiW2Cge2SifOesyLQkBwlD/hnQII72T2bAEEhfud0WdZ46fD0MkMnVrvV6R0SxyVLRMq+WQas8Gno3wvC6ArimlGACHAYaDtIx+dYwiNwC9MMDS1G0Mva/z1Silxl5XhyM7Gnp2NIzsbx9Fs7JmZVG5Kp2zJkhOF9XoMsV0xdu+FrnMiwtQZZ6HAdqCEsp8ArVA8eAINioePudY+UI/GrEdrNqAx69H4673+B9IbtHToHkyH7sFNlpVON/ZsCyEZgoLDu7AfLjvF20KYtBhizOg7mTF0MqOPMaOLaN4/tLO4mMoNv2FZv47yDb9RdeQwroAItF0G4d/pUvw7xSCEhkp3OUcrt3KkbDeFthykZ6gaEBJKcFQH4pIG0DUxhe4Dh6D1N/Hm5jf5NP1TugR1YdYl/yYlKsVrmapHcTX2aYcT6bAjHQ5wONAEBaENDDztvtbHvtxynlm8k3WHCukXE8Q7Nw1iUGxo/YXtlfDfG+DoRrh2DvS6uM5tvVFLVOzp+4GfjCsth9TUpFOvO9zK6t9KReFbim0UZlsozLaQf8TCwc35Nb8gdEZl4vxkxe9nbl8Rzh02F0d2F5G1vYDMHYU4HBJ5cfO85xqjyZR9Qoj3gP9JKb/3nF8MXNRUxUKIeSiu+xFCiKPAM1LKj1tCaBXFRqwNDkYbHIyp76m+nO6KCmyHMrAdPID94CFsBw9i27uT8qU/1kxoCVMwhl4j0Ef1xGU14yoNwKExAUaQeqjPZitAmJQvBG14ALoaL5+6e+Gna/TD6rLYsWeVY8sqw55Vhv1oObgkEWhwhFdgSgjFEBuEMTZIUf45FhzZFuw5FVjW5SgzzIAwaNBG+0GYFofZSZXOQrmrmCpLOY6qKpyVdmSVCypcyFIrGqsbrVOPQeOHQReAUdcbY99BhCQGoPOYT0rs+WRafqPMVIw2ykRI3w4kRl9aE342KDIKvbHuArq9RXt5/LvH2V+8n+sSruMvg/+Cv755v/6EVovQasFoBE5vtWpTWGxO3li6jzlrM/E3aHn+yn7cOCwWbUNfkg4rzL8RstbClA+h75UtKo83aPUa/PXKpHk1PQad8D932FwU5VTUKP3CHAsZWwvYvfbExHlAiJEufcOISwynS58wDKbWj5NTXmQlc1sBmdsLyd5bjMvpxmDS0qVvOFZ9vuIH38LmH296OURKeU/1iZTyByHE8009JKWcdkaSqZwRmoAA/BL745dYd/rDbbNhz8zCfvAAtgMHsR06hOPYSmRlFe6qKtyVlbirqpBVVaD3R2MMQpiCEMYghDHQsw9CYwpC+IejCQhHaE81twi9RrFd1nbtDNDjyK3AfrgcZ4En4YPH/GK+IAZDbCCbt68mMdxM1a61FP2yk5KMQ1RJF85AMzZ/P2xGAw6dFqEJwaQJI0ATSnBZFCGGKPQaA/5oMLiDsLv1GLX+aEWtj7hB2aSUOLHh0rmQfgJMGhx+EmegG78+4XTr2Z9+wVd7NZpyuV3M3TmXt7a8RYgxhLfHv83ozqPP5E/nE6SU/G9rDrO+201euY0bhnThkUm9CK/PHFON0w5f3gKHVsCV70DSta0n8GmgN2qJ7hZEdLcTvyKklFSW2SnKrqAg20JeVhkZW/LZ8+sxNDpBp4RQ4hLDiUuMICjCN3li3W5JXmZZjVIvzFZMqsGRfvQf04m4xHA69ghBq9OQlpbWrLnCpvBGwRcIIZ4E/oPyQ+hmoLDFJVFpFTRGI6ZeCZh6NZ4VSLrdyCqP0q9W/JWVNdechYVYd+3Cun0H1gOHEFp/NKYQtJFd0Mf2Qh/VBY0+AmkX2A/bcJUWgEuiCdBh6BqIrk8AlbZjFOfsoOTgAcrWHKOitJgqJNv0Oqx6LW6NBsJrRyusQldRicnhwmjLxuZ0YnO4qHA6KXS4MRvCCPCPwS+8O3phxFVVisNejj4qBGNCV/xS+uI/qD+6sDOfcwBl1P7ihhfZlLeJCbETeGr4U4SaGjBztCF7j5fz9OIdbMgoIrFTMO/fMogBXZuQ0+WABbfD/p/hstdhwE2tImtLIYQgINhIQLAycgdwudwcP1hK5vZCMrcVsPqL/az+Yj+hHQPolhRObGIEHboFNVvRut2SqnI7xw6UkrW9gKydhVSVOxAaQcf4YC6Y2oO4xPBG10u0NN4o+GnAMyhJPwBWea6pnINItxu7tQqrxYKtsgJbhQVrhQVbRYWyr6zAarFgr6rEHRaAvHAI7hEDcJaV4SwtwVVWgitnKc4DlYBACsBoQPj7o/MLovxIKVXb7ZzsCaiR4BcahFZvICauO8GxcQRFRWMOCycgNBxzaCj+IaE1qdCk04mrtBRXURHOomJcxUU4i4pwFRfjKipGGCFg2AT8Bg2u4wnSEhyvOM6bm9/k24PfEmgIZNaoWVze/fJ2tYK40u7kUH4F32zK5tN1mQSadMy6uj83DOnasDmmGpcTvrkT9iyBi1+Bwbe3jtA+RqvV0CkhlE4JoYyc2oOS3EqydhSSsa2ALb8cYdNPhzEG6Ijtr4zsu/YNQ6vXUFXuoLLMTlW5vWZfVeagsrzuNavFQbVTotH/RD1d+oZhaqNQDN7EoilCCVXQblm3YB56k0lZ1RcahjksAnNo2GllYGlPSCmxVVSgMxhatA8up4PSvDxKc49RknusJp9leWEBNo8St1VW1s1beTJCYPIPQO/nh1arQ2g0CI0GjUaDMBoQ0VFoOnbAAEirFVlZhayoQFZU4C4sJkwIzCFhBHWMIbh7PKH9+hOWmIR/aBhCo/HaXUzodOjCw9GFh3Pma2m9o9xezsfbP+Y/u/+DlJLb+t3GHxL/QLCx6UlkXyClJK/cxsE8CwfzLRzMr1D2eRZySpUFIULAtKFdeWRiL0IDvPgsuRyw+D7YuRAmPA/D7vZxL9qOkGh/QqL9SR7fBVuVkyO7isjcVkDWjkL2bchVXEoacG7RG7X4BSoum8GRfnSID65ZJR7R2UyH7s3/JdCSNOYm+bqU8kEhxLfU000p5RU+lcxLpNvNxiULsVdVnnLPZA70LOUOxxwajjkszLNXvgj0Jj9cTgcuhwOnw47L4ag5V645TrkmpVSWjpv80JtM6E1+GEye1YieawY/5ZpGe8JPV0qJvaqSipJiKkqKqSwtqbOvPi7KPc7mD16vSRps8PPDPygEv6Ag/IND8A8Kxi8oGP+gEPyDgvDzXKu+7rTblCTEuccoyT2uKHLPcXlBQR3lrTMaCYnqQGBEJOGdu2L0D8BkNmP0D8AYEIApwIzR31xzzWQ2YzD5ITTN/AlbUYHwb72fpy2Fw+Xgy31f8t7W9yixlXBZ98uYMWAGMeaYVpOh0GLjt4yiGkV+yLO32E6scA4waImPMjOsezjdIwKIjzLTLyaI2HAvf8EcTYdv74fcHTD2SRh5v4960/4w+unoMSiKHoOicLsluRllHNldhEajrIquE/4jyIC+jWLjnC6NjeD/7dm/1hqCNBeh0XDfnC+wVVRgKS7EUuTZios8e+U8PyuDipJiOI2FXWeKVq9Hb/JDp9dTVV6Gy1FPkCWNhoDgEPyDQwkICcFpMBHfqzf+wSE47XYqS0uoLCulsqyUsrxcjh/cT1VZKe6GfKVPwi8omJDoDnTq1Zfg0R0Jie5ASHRHQjp0xD84pFWVbU2C4bMEKSU/Z/3MG5ve4Ej5EYZ1GMafB/+5VbMs2Zwu5q7N5M3lB2qUeUywifgoM1MHdiI+ykx8pLJFB3kXPO3URsph+Quw4X0I7ADXfw59Lmvhnpw9aDw289prOs5WGnOTTPfsV7aeOM1DCIHJrIw0I7o0nEnG7XJRUVJco/SdNhtagwGtTo9Wr0fn2VdvOr2+5p5yrgQmclhtOKxV9UT9q8LuifxXOxKg02HHLzCIgOAQAkJCa5S5f0gofubAOiPitLQ0LmzCRFFtwqksK6GytISqsjLPcSlavZ6QDh0Jie5IcFQHr8LCqpzKptxN/GPjP9hWsI0eIT14Z/w7jOo0qtW+EKWULN+Tx/NLdpFZWMn43lHcO64HvaIDCTC2oIvf3h/gu78okSGH3AHjnwbTmfu0q7QPGjPRbKeRBchSylNXJLRzNFotgeERBIZHnFE9Rn//NlWctb/QwmLaNufjuUZGaQavp7/O8iPLifKL4rkLnuOK+CvQalrvJ/mBPAvPL9nFyn35dI8MYO7tQ0jt5X3cca8oPw4/PAq7FkNUX7j2U+gypGXbUGlzGhsKVP9Gu9ezrzbZ3AScavBWUTmLOVp+lLk757Jg3wKMWiMzBszg5j43N3uxUnOodEheWLKLub9m4qfX8uSlfbj1gjj0LTlZ53bDprnwy0wl2tu4p+CC+0F3djokqDROYyaaLAAhxEgp5chat/4qhFgLPOdr4VRUfInVaWXZ4WUs3L+QDcc3oBVarkm4hj8m/5Fwv/BWk8PllixIP8Ks1ZWUOzK4fnAXHp7Uq/6YMGdC3h749gE4sh66jVb828PjW7YNlXaFN8a8ACHEKCnlGgAhxAW09PppFZVWZFfhLhbuX8h3Gd9Rbi+nk7kT96bcy5XxV9LR3LFVZdmYWcTMb3eyI7uMniEa/nvLBfTv1MKTe06bkhB79WwwmpVVqSk31omLrnJu4o2C/wPwiRCi+lNXAvyfzyRSUfEBpbZSvjv0HQsPLGRP0R4MGgPjY8czpecUhnYYika0rs/ysdIqXvphD4u35NAhyMQbN6QQVLyv5ZV75lpl1F64HxKvg0kvgvn00vepnL14s9ApHUgWQgShxI8vbeoZFZX2gFu62XBsAwv3L2TZ4WXY3Xb6hPXhiWFPcEm3S1p9gZKUkgN5FhZvyeHjNRm4pGTGuB78MTUef4OOtLT9LddYzmZlxL77fxDSFW7+Gno0GSNQ5RzDm6TbRmAqEAfoqt3EpJSqDV6lXZJjyWHxwcUsPrCYbEs2gYZApvScwpSeU+gTfmpOTV8ipWTb0VJ+3Hmcn3Yc51CBknj54v4deOKSPnQJa8FJXCkhYxWsmQ2H0sAYDKMfhVEPUpPCTOW8whsTzWKUVInpgM234qioNA+L3cIvWb/w7aFv+f347wAM6ziM+wfcz7iu4zDpTE3U0HI4XW5+zyzmp53H+WnncY6VWtFpBCPiw7l9VDcm9o0mOqgF5XG7Ye/3imLPToeAKLhoJgz+g+rTfp7jjYLvLKWc7HNJVFROE6fbyfpj6/nfwf+x4vAKrC4rXQO7cm/KvVzW/TI6B7beGgGb08XaAwX8uOM4S3fnUVRhx6jTMDohkocn9mJ8nyhC/FvYFdHlgO0LYO3rkL8HQmLh0tmQchPoW+8LTaX94o2C/1UIkSil3N50URUV37O3aC/fHvyW7zK+o6CqgCBDEFf2uJLL4y8nKSLJp6tNpZRU2F0UlNsosNg4WlzFsj15rNiTh8XmJNCoY1yfKCb368CYXpH4G3yQWMJeCZv/A7++CaWHIaofTPkI+l0N2tZPZKHSfvHm0zAKuE0IkYFiohGAPBtXsqqcveRX5vN9xvf87+D/2Fe8D51Gx+hOo7k8/nJGdx6NQXtmo2OHy83R4iryPYq7wGKjoNxGvsVOgcVW57r1pByh4QEGLk/uyKR+HRgRH45R56NVr1Ul8PtHsP5dqCyALsPgklchYZLq8qhSL94o+IubLqKi0nJIKSm0FpJZmsmh0kMsP7KcdTnrcEs3SRFJPDHsCSbHTW52cg2LzcmeY2XsOlbGzmxlvze3HLuzruLWCAgLMBBhNhJhNhIX7q8cBxo91wxEBZro1SGw6RjrzcVaqkycHlimmGPs5Yo3zKg/Q+wFqmJXaRRv3CSrV7RGAaphT6XFqHRUklWWRVZZFhllGWSVZbEtZzuP/fevVDorasqZtZEMC72W4VET6BHanWA/PaUWPdJlJ8ikQ9fAUv7qeOm7chQlviunjJ05pWQWnoi0Eeqvp19MMLddEEdCdCDRQcYahR4WYPCd4m4Il1NxcTy4XNmO/g7SBQazMlIf+QB0TG5dmVTOWrxxk7wC+AcQA+QBscBuoJ9vRVM5F5BSkluZy6GSQxwoOcCewkMcLMkg23KYUkdBrYIC4QrBYY3AbU/CbY/AbY/EbY+g3BHCMTT8TAFQcEobZqOOYD89QX56gv10BJn0VDlc7D5WRoHFXlOua5g/fTsGMXVgZ/rGBNE3JogOQaa2j09fchgOLqffjvmwfpcyakdAzAAY9RDEj4POQ9R4MSqnjTcmmueB4cBSKeUAIcRY1JR9KigxVEoq7RRV2Mm3WDlUfIQDJYc4asngeNVhihxHqHBn4xbWmmekyw+3LRK3vStu+yC0rkgijV3oFNiZzsHB2N25jBjSm5gQP2JCTHQM9kMjBKVVDsqsDkqrHJRWeva1r1U5KKtyUFblJKuwEp1WMLZXFH1jgugXE0zvjoEEmdombdopWEshax0cXKaM0gsPABBoDIe+VygKvXsq+Ie1rZwqZz3eKHiHlLJQCKERQmiklCuEEC/7XDKVVsfhclNcYaewQlHahRV2iiw2Ci1WcivKyK8opbCqlBJrOWX2YqrkMYQxD40hD40xD6GpldDEGYTO3YFAMZxQfReiTbF0CYwjLiSKmBB/Ogab6BTiR4i/vs4IOi0tjdShXU+Rzc+gpUPwWWIhdDmhLBuKM5WtJOvEcXEmVHpy1uv9IW6UEoc9fhzrd+SQOnZsm4mtcu7hjYIvEUKYUZJtfy6EyAOcTTyj0grYnC4sViflNZuDCruLKoeLKruTKruLKodbOXa4KLdVUWYvodxRgsVZQoWzFJu7lCp3OVVOCw5ZidBaQWNFaKwIrbJHY0eI6mzCng0wAIG6CDr4xdLVPIL4kHj6RfYkKaoXEQEhbfRWWgmnDQoPQsHeusq7OAtKj4C71r+IRgfBXSA0DvpcrvirdxoEXYeDrlbESHGsdfugcs7jjYK/EqgCHkKJBR/MORYq2O2WlFQ5arnG2Siw2Ou6zFlsFJTbqXK4CPXXExZgICzASHiAgdAAA+EBBuWa+cRxeIARv5NyNzpcbipsTirsLmVvc1Jhc2GxOSi32diUVc6m5emU26oot9oot9mosNuosNux2G1U2u1UOexUOOw43Q6EcAMuEG4QLkUx6yoQWgtCV4HGsxc6C0JTayGyBkVDAwItBuFPoCYAf10AAfoQgo1BhJgCCfMLJtw/iCBDIIGGQMx6M2aDmWBjMHFBcQToz/El8LZyyN+nKPL8vVCwT9kXZ0Dt5OT+4YoC7zQQ+k9RjkNilX1QJ9U/XaVNaCyjUw8gWkq51nPJDXwqhBgNhACFvhfPO+5dNAeHS4LUIqUW3Dqk1CGlFrdbi3RrcbuVc5dbi3RrcLp0WKxOCixVFFdW4ZROhDihKBEu9Fo3wf5aQvw1BJu19I3UYNC5KbVZKbNWsK/CiqW4igq7FSkcIBwgnAiNE4QDIZxotU70OhduHLikHSk89zxl6pb3jJKP1NNJvWfz6FMDNfr5FDRCS7AhhFBTKOGmjkT4hRHuF06oKZQwU9gpW4A+oO0nGtsSpw3Kj0Hp0bpKvGCfYmqpRqNX4qdH94P+UyGyF0T0hLDuYAxsO/lVVBqgsWHF68AT9Vyv9Ny7vKnKhRCTgTcALfCRlPKl0xexaVYV/ws0XliNhEcSLYqyNAEh4NfII1bguGfDxoloPDrPFlBX0eqEHp3GgBY9wrPh1qPXGNBrAjBojRi1BkxaEyadEZPeiL/ejwC9kQC9iYJjefRP6I3ZYMKgNaDT6JRN6E4ca3ToNfp675n1ZoKMQa0e/rZd4nYr9u7yHCg7pijx6q32eeVJYxV9gKK44y6EyASI6KUo89A40LaTiVoVFS9oTMHHSSm3nXxRSrlRCBHXVMVCCC3wNjABOAr8LoT4n5RyV3OFbYhvpyzE7rbjcDtwuBzYXXbl3OXA7rZjd9lxup011+0upayU8lRledKmF/pTFKtRZ8SoMWLUGpVjrbIZtIYzVqxpaWmk9k9tmRdTjZSKTdhpBacdXDZl1Oq0Kcdul2In1uqVUapW59nrleu172m0dRfXVNftcoDbodRVfexy1LrnVK6d0r7dc2wFl50uh3fDyt88snruu+zKxKX7pPpq2qnnnq1cyTvqdpz0MgSYoyCwo2IX7zJUOQ7sCEExEJGgmFQ06hekytlPYwq+MZeFxga91QwFDkgpDwEIIeaj2PNbXMHHzb9VUQjnAEMqKmBnM+3aNcrWXleBO200kj/99KlW9G5n3cnEFiAe4BCeLxWj4vutNdT64tHV8yWkB52p7heUwVxLcXc8cWyOUkfhKucNjSn434UQd0opP6x9UQjxB5TQwU3RibrW5KPAsJMLCSHuAu4CiI6OJi0tDYvFQlpamhdNKPRxBSNoveTIvsRpDKLCq7nvehAgdVqkXo9bc+omRf3XpNAgpMuzOdG4XXXOhXShcTtrnbsR0oUUWs+mw61R9lJoPHstbo2u5n719cblMlBWacM/KAREC8VzqfJsuRZgv2drn5zu5/5c43zuv6/63pgmeRBYKIS4iRMKfTCKyflqL+qub9bulGGklPID4AOAwYMHy9TUVMVMkZrqRRMeTqdsO+e0+36OcT73/3zuO5zf/fdV3xtU8FLKXOACz8rV/p7L30kpl3tZ91GgS63zzkBOs6RUUVFRUTltvAk2tgJY0Yy6fwd6CiG6AdnADcCNzahHRUVFRaUZ+Gz1hZTSKYS4D/gJxTHxEynlTl+1p6KioqJSF58ur5NSfg9878s2VFRUVFTqR3X2VVFRUTlHURW8ioqKyjmKquBVVFRUzlFUBa+ioqJyjiKkbMEl7GeIECIfyAIiqC832/nB+dx3OL/7fz73Hc7v/p9J32OllJH13WhXCr4aIcRGKeXgtpajLTif+w7nd//P577D+d1/X/VdNdGoqKionKOoCl5FRUXlHKW9KvgP2lqANuR87juc3/0/n/sO53f/fdL3dmmDV1FRUVE5c9rrCF5FRUVF5QxRFbyKiorKOUqbKXghxGQhxF4hxAEhxF/ruS+EEP/y3N8mhBjYFnL6Ci/6f5On39uEEL8KIZLbQk5f0FTfa5UbIoRwCSGuaU35fI03/RdCpAohtgghdgohVra2jL7Ci899sBDiWyHEVk/fb28LOX2BEOITIUSeEGJHA/dbXudJKVt9QwkffBDojpIhaivQ96QylwA/oGSGGg5saAtZ27D/FwChnuOLz5X+e9P3WuWWo0Qjvaat5W7lv30ISu7irp7zqLaWuxX7/gTwsuc4EigCDG0tewv1fzQwENjRwP0W13ltNYKvScgtpbQD1Qm5a3Ml8JlUWA+ECCE6tragPqLJ/kspf5VSFntO16NkxDoX8OZvDzAD+BrIa03hWgFv+n8j8I2U8jCAlPJceQfe9F0CgUIIAZhRFHzLZnZvI6SUq1D60xAtrvPaSsHXl5C7UzPKnK2cbt/+gPLNfi7QZN+FEJ1Q8v6+14pytRbe/O0TgFAhRJoQIl0IMb3VpPMt3vT9LaAPSnrP7cADUkp364jX5rS4zvNpwo9G8CYht1dJu89SvO6bJyfuH4BRPpWo9fCm768Dj0kpXcpA7pzCm/7rgEHAeMAPWCeEWC+l3Odr4XyMN32fBGwBxgHxwC9CiNVSyjIfy9YeaHGd11YK3puE3Ody0m6v+iaESAI+Ai6WUha2kmy+xpu+Dwbme5R7BHCJEMIppVzUKhL6Fm8/+wVSygqgQgixCkgGznYF703fbwdekopR+oAQIgPoDfzWOiK2KS2u89rKRFOTkFsIYUBJyP2/k8r8D5jumVkeDpRKKY+1tqA+osn+CyG6At8At5wDI7faNNl3KWU3KWWclDIOWAD86RxR7uDdZ38xcKEQQieE8AeGAbtbWU5f4E3fD6P8ckEIEQ30Ag61qpRtR4vrvDYZwcsGEnILIe7x3H8PxXviEuAAUInyzX5O4GX/nwbCgXc8I1mnPAci7XnZ93MWb/ovpdwthPgR2Aa4gY+klPW61p1NePm3fx6YK4TYjmKyeExKeU6EEBZCzANSgQghxFHgGUAPvtN5aqgCFRUVlXMUdSWrioqKyjmKquBVVFRUzlFUBa+ioqJyjqIqeBUVFZVzFFXBq6ioqJyjqApeBc+S+EknXXtQCPFOI888cQZtxTXn2bZCCJEihLikkfvzPNH/HmpNuZpCCJEphIjwHP/aQJm5TUXrFELcJoSI8YWMKr5FVfAqAPNQFp3U5gbP9YY4bQUvhNCe7jNtjRBCB6Sg+CfXd78DcIGUMklK+c/TqLNVkVJecAaP3waoCv4sRFXwKqCsFr1MCGEE8IywY4A1QohpQojtQogdQoiXPfdfAvw88co/91y7WQjxm+fa+9XKXAhhEUI8J4TYAIxAiabnEkJoPaPHHZ76Txn9CiGu9dzf6lmuXz2afKtWmSVCiNRabf1DCLFJCLFMCBHpuZ4mhHhdKHH1dwghhnquhwkhFnlG3+s9oSEQQswUQnwghPgZ+Ax4Drje07frTxLzZyDKc+9Cz2h/vafOhUKI0FoyvCiU2O4PnNRPsxBijuc9bBNCTPVcf1cIsVEocdGfrVU+UwjxrKef24UQvT3Xw4UQPwshNgsh3qdWbBMhhMWzF0KIt4QQu4QQ3wFRtco8LYT43fOOPvCUvQYldMTnnj76CSEGCSFWCiUQ2k/i3Inyeu7R1jGS1a19bMB3wJWe478Cr6Io+cMocbl1KPHZr/KUsdR6tg/wLaD3nL8DTPccS+C6etobBPxS6zyknjLbgU6176OMJt+qVWYJkFqrrZs8x09XlwPSgA89x6PxxOMG3gSe8RyPA7Z4jmcC6YBffW2eJGMcteJ7o6w+HeM5fg54vZYM7zRQx8vV5Tzn1XkAwjx7ref5JM95JjDDc/wnlJWuAP8CnvYcX+p5HxG1/17AFOAXT50xQAmeePvV7XmO/w1cXkv2wZ5jPfArEOk5vx5lRWqbf4bV7dRNHcGrVFPbTFNtnhkCpEkp86WUTuBzFAV5MuNRFPbvQogtnvPunnsulLjuJ3MI6C6EeFMIMRmoL1rgWpRl63eiKKSmcANfeI7/Q90InPOgJiZ3kBAixHP/357ry4FwIUSwp/z/pJRVXrRZg+fZEClldQamT6n7vr449SkALgLerj6RJ/IAXCeE2ARsBvoBfWs9841nn47yJYOnrf946vgOKOZURgPzpJQuKWUOypd2NWOFEBuEEiZgnKfNk+kF9EeJ8rgFeJJzJ1fBOUdbRZNUaX8sAmYLJU2Yn5Ryk1ACnnmDAD6VUj5ezz2rlNJ18kUpZbFQ0hBOAu4FrgP+76Qy9wghhqGMRrcIIVJQkj/UHpiYGpFLNnBcfd5YeNaKRuptLg3VKThJPiFEN+BhYIjnXc2lbl9tnr2Luv/H3sQeOaWMEMKE8strsJTyiBBiJvW/WwHslFKO8KIdlTZGHcGrACCltKD8FP+EE5OrG4AxQogIj019GlA9OnUIIfSe42XANUKIKKixbcc21p5QvDs0UsqvgadQUpmdXCZeSrlBSvk0UIASSjUTSBFCaIQQXVCyBFWjAao9Qm4E1tS6d72nzlEoUfpKgVXATZ7rqSgheuv7JVEOBDbWHwBPncVCiAs9l27hxPtqjJ+B+6pPPHb7IJQvhFKhRFW82It6avfnYiC0gTI3eOZAOgJjPderlXmBEMLMifcIdfu/F4gUQozwtKMXQtQ30ldpB6gjeJXazEP56X8DgJTymBDicWAFysjteynlYk/ZD4BtQohNUsqbhBBPAj8LITSAA2VUntVIW52AOZ7yAPWN/l8VQvT0tL0MJYcnQAaKfX4HsKlW+QqgnxAiHSjFo9Q9FAvFVTCIE78UZnpk2IYSve/WBmRdAfzVY5L4u5SyIVMLnjreE0qY30N4FxHwBeBtoSRjdgHPSim/EUJsBnZ66lnrRT3PAvM8Zp2VKPMnJ7MQxfyyHSW+/EoAKWWJEOJDz/VMlNC+1cz19KkKZaL8mv9v7w5xIARiKIB2kpUcl5PsifYAWG6CLwIkAjWb/Lwnq6p+moq2qr73SupT14OW/UV/TOaaJDHGGEd3Lw/1X1Wt3b3N7wr+x4oGIJQJHiCUCR4glIAHCCXgAUIJeIBQAh4g1AmMR7JCHdq/dgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mwnaive = CID(\n", + " KSModel(),\n", + " [\n", + " STV,\n", + " SNTV,\n", + " (SPAV, Approval.zeroInfoBallot, {\"pickiness\": 0.6}),\n", + " AllocatedScore,\n", + " SSS,\n", + " SequentialMonroe,\n", + " ASRDroop,\n", + " ],\n", + " 72,\n", + " 10,\n", + " 1000,\n", + " 4,\n", + ")\n", + "mwnaive.saveFile(\"mwNaive\", False)\n", + "mwnaive.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "2d583b2b-85aa-4602-885e-aa5ad3ccf596", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "smallDevs = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 10000,\n", + " utilChange=0.02,\n", + ")\n", + "smallDevs.saveFile(\"smallDevSW\", False)\n", + "smallDevs.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "26d4ccfb-440e-41b6-88df-c483bb09857e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sw3 = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 3,\n", + " 10000,\n", + ")\n", + "sw3.saveFile(\"sw3\", False)\n", + "sw3.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7ca96d2f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sw3dim = CID(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 3,\n", + " 5000,\n", + ")\n", + "sw3dim.saveFile(\"sw3dim\", False)\n", + "sw3dim.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6bf77ab6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sw3BasicSort = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 3,\n", + " 5000,\n", + " sorter=utilDeviation,\n", + ")\n", + "sw3BasicSort.saveFile(\"sw3BasicSort\", False)\n", + "sw3BasicSort.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "62748375-b3a5-4f7b-b03f-e5c4c693d1d7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sw12 = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 12,\n", + " 3000,\n", + ")\n", + "sw12.saveFile(\"sw12\", False)\n", + "sw12.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "bd7a62c7-4035-42ba-92f5-d55213fcfece", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mw20 = CID(KSModel(), [SNTV, STV, AllocatedScore, SequentialMonroe], 72, 20, 2000, 4)\n", + "mw20.saveFile(\"mw20\", False)\n", + "mw20.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8d6f88a8-b3a0-4f0b-9939-a9ef205aba14", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "mw2winners = CID(\n", + " KSModel(), [SNTV, STV, AllocatedScore, SequentialMonroe], 72, 10, 5000, 2\n", + ")\n", + "mw2winners.saveFile(\"mw2w\", False)\n", + "mw2winners.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "19c555e8-18b3-4ad4-a526-a2b52f3d371b", + "metadata": {}, + "outputs": [], + "source": [ + "mwutils = CID(\n", + " KSModel(),\n", + " [STV, AllocatedScore, SequentialMonroe],\n", + " 72,\n", + " 10,\n", + " 500,\n", + " 4,\n", + " sorter=utilDeviation,\n", + ")\n", + "mwutils.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "760eb20a-25c2-4744-92e3-3470a6bab217", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swAffinity = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 2000,\n", + " sorter=candAffinity,\n", + ")\n", + "swAffinity.saveFile(\"candAffinity\", False)\n", + "swAffinity.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "0fbf3e04-fc2e-4dbf-8496-face85dd19c3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swNormalized = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 2000,\n", + " sorter=normalizedUtilDeviation,\n", + ")\n", + "swNormalized.saveFile(\"normUtils\", False)\n", + "swNormalized.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1b79abd3-4b93-4180-9127-461c61c8bbe9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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GYIAQ4maZW6WjxJSGDHVERETpGKOjUnMgPBagyjgCgJYuevx8LptDV+Iq9eZ2VUOTPYLhQojwMrdEhw4d5cqB8Fg8bIzxsis9GZSyJsBOjq2pPr+fuatzBKVIsUtDOiegQ8fzR0ZOHsdvJlS6LOLi0JNJ9K7nwv6wWBLSdAGMpYVGewQ6dOh4vvjnegI5eSo6+FS9UfWAwGrkqQTbzkdVtCnPDTpHoEPHC8iB8FhM9OU09rSuaFO0ppajGQGuFmw6o9O6Ki00SShT/EeG+m2dDPXTPJKbjoiIwMjIiHr16uHn58ewYcPIzc1l2rRpfPTRR08cc/78eXx9fSvCXB0vMEIIDobH0rKmLfp6VXMsOKChK2HRKYTcS65oU54LNPkWLOBJGeoG6GSoi6R69eqcP3+eS5cuERkZycaNGxk8eHB+tu4j1q9fz6uvvlpBVup4UbkcnUJMSlaVXBZ6RM+6LujLZbpZQSmhk6EuQ+RyOY0bN+bevXvUqlULS0tLTp48mf/6xo0bGTRoUAVaqONF5ODDsNG2PuVfgay0sDBW0Km2A9vO3yM7r/KKIVcVnjsZ6m9PfUt4YukGOvlY+zC58WStj8vKyuLkyZP89NNPgFrJc/369TRp0oQTJ05gY2NDzZo1S9VWHWWLMi0NVVoaCkfHijalxBwIj8XfxQJ7M8OKNuWZGNDQlZ0Xo9kfFktXf50+9bNQUhnqD8rWrKrNjRs3qFevHjY2Nri5uREQEADAoEGD2LRpEyqVivXr1xcqCKejcpJ54QI3Or3E9bbtuNG1GzFff03aoUOoMjMr2jSNSUzP4dzdpCqVRFYYrWra4WhuyO/BdyvalCqPJjOCo6g1hvJlqMvUomekJCP30ubRHkF0dDRt27Zl+/bt9OzZk2rVquHh4cGhQ4fYvHnzUzr/OiovqQcOcu+999Czs8Nm1EjST5wkacNGHvy2CkmhwCiwIaYtW2LSsiUG3t5PSHdXJoKuxCJE1comLgy5TKJvAxcWHrrB/ZQsHMyr9gynItFkRnBcCJEthLgo/pWh1t3BNMDJyYlvvvmGmTNn5j83ePBg3n33XapXr46rq2sFWqdDUx6s30DkhAkY1KiBx7q12IwejduvS/A+eYJqv/6K1ZAhKOPjiZ31Pbd69eZ66zZETfmI5B07yXvwoKLNf4ID4bHYmhrg72JR0aaUCv0buqISsPXcvYo2pUpTqCOQJMlRkqSGgJEkSfUlSWrw8NEWMC4vA6s6vXv3JiMjgyNHjgAwYMAAQkNDdZvEVQAhBLE//UTMtGmYtGqJ+8oV6Nn+K9csMzTEtGULHKZMxuvPP6kRdBCnr77CuFEgaQcPEvXBB1xr3oJb/QeQ8OuviLyK1dLPVao4fDWOdrXskMkq54xFW7zsTAl0t+L34LvFFlvSUThFLQ29DIwAXIEfUC8LAaQAHxfXsSRJ1VBLVjsCKmCxEOKn/7SRgJ+ArkAGMEIIcVa7S6gcpKWlAerC7yEhIfnPS5LEhQsX8v+2s7MjNze33O3ToR0iN5foTz8jeds2LPr3w2naNCS9oldSFY6OWPbri2W/vgilkqzQUNKOHiX9yFFiv/+BtH/+wWX2bPQKqRFR1jwqQvM8LAs9Tv+GrkzZcolzd5No4FYx721Vp9AZgRBipRCiHeqbc3shRLuHj15CiC0a9J0HvC+E8AWaAm9JkvTfythdUO8/1ATGoMtP0FEJUKalc3fcmyRv24bthAk4ffFFsU7gv0hyOUYBAdiNH4/HurU4ffUVmcFniOg/gKzwitlmOxgei0Iu0bKSF6HRlm4BThgqZPwerMspKCmaiM5tLknHQojoR6N7IUQqEAb8tx5eL+C3h3UTTgCWkiTp4sB0VBh5cXHcHjaU9BMncPryC+wmvFUqG7+W/frivnoVIjeXiMGvkrJ7dylYqx0HwmNp7GmNmeHzJQxgZqigax0ndlyIIjOn0ka2V2rKJb9ckiQPoD5w8j8vuQCPx35F8rSz0KGjXMi+eYuIQYPJuRVBtfnzsOzfv1T7N6pbF8/NmzD08eHeu+8R+8MPCGX53LgeFaFpV+v5WhZ6RP9AV1Kz8/grNKaiTamSaDffLQGSJJkCm4GJQoiU/75cwCFP7fhIkjQG9dIRDg4OBAUFkZaWRlBQEAAWFhbF1vV93lAqlVXimrOysvI/p9Li8c++tFDcuIHl/AUImYykif8jRggo5XPkM2okZhs3wpJfifrnGMmjRiJMTDQ+vCTXv++2el/KNCWCoKCqW268sGtXCYGtkcTifRexTL5W/oaVE2Xx3QcKr1kM9C3qUdhx/+lDAfwFvFfI64uAwY/9fQVwKqpPXc1iNcXVLK4sVIWaxcl//y3CAuqK6y+9LLJv3y7Vvosicf0GcbmOv7jW6SWRdfWqxseV5PqHLT0p2s7S/rjKRlHX/uPeK8Jjyg5xNzG9/AwqZyqiZnGPIh7di3MwDyOClgJhQojZhTTbDgyT1DQFkoUQ0cX1rUNHaZG4Zg333vkfBj61cF+3Fn03t3I7t9XAV3BfuRJVZga3Bg4i5e+/y+Q8+UVontNloUf0a+CKELDlrC6nQFuKihp6vYjHSA36bgEMBdpLknT+4aOrJEnjJEka97DNLuAmcB1YAox/1guqSLZu3YokSYRXUFRIUbRt25bg4OCKNqPSIIQg9ofZ3P/iS0zbtsV9xQr0rMtfm9+4QX08N23GoGYN7r3zP2J/+gmhKt3C7I+K0DxvYaP/pZq1Mc28bNh0JhKVSpdToA0a7RFIktQNqA3k53ALIWYUdYwQ4igF7wE83kYAb2liQ1Vg3bp1tGzZkvXr1zNt2rRn7i8vLw89LcMWdRSPUCqJmT6DpI0bsRw4EMdPp2odHlqaKBzscV+1ipjp00lYsJDssHCcZ32H3MysVPqvykVotGVAoCvvbbzAqYhEmnrZVLQ5VQZNCtMsBAYCb6O+sQ8A3MvYripHWloa//zzD0uXLmX9+vUABAUF0bp1a/r06YOfnx/jxo1D9XC0Z2pqyvvvv0+DBg3o0KEDcXFxgHrk/vHHH9OmTRt++ukn9u/fT/369fH392fkyJFkZ2eze/duhg8fnn/uoKAgevToAcCbb75JYGAgtWvX5vPPPy/nd6HyI3JzifpwEkkbN2IzZgyO0z6vUCfwCJm+Pk5ffonDZ5+SdvQoEa8MJPvmzWfuVzwsQtOqpl2VLUKjDV3qOGFqoKfLKdASTf4DmgshAiRJuiiEmC5J0g+AJgllFULM11+THVa6SzMGvj44flx0MvW2bdvo3Lkz3t7eWFtbc/asOkH61KlTXL58GXd3dzp37syWLVvo378/6enpNGjQgB9++IEZM2Ywffp05s6dC0BSUhKHDh0iKyuLmjVrsn//fry9vRk2bBgLFixgwoQJjBkzhvT0dExMTNiwYQMDBw4E4KuvvsLa2hqlUkmHDh24ePFivvrpi44qK4t7E98lLSgIu/ffw/aNNyrapCeQJAnrV1/FsGZNIv83kYhXBuKxcSMGXp4l7vNREZrnfVnoEUb6croHOPHH+Sim96qNqUHFO/mqgCZDhEcauxmSJDkDuUDJv5nPKevWrcvXDxo0aBDr1q0DoHHjxnh5eSGXyxk8eDBHjx4FQCaT5d+8X3vttfzngfznr1y5gqenJ97e3gAMHz6cw4cPo6enR8eOHfnzzz/Jy8tj586d9OrVC1AXu2nQoAH169cnNDSUy5cvl88bUMlRpqVzd+w40g4dwvHzzyqdE3gc40aN8Px9IwD3v5lZTOuieR6K0GjLgEBXMnOV7LigK26vKZq4yx2SJFkCs4CzqOP8fy1Lo56F4kbuZUFCQgIHDhwgJCQESZJQKpVIkkTXrl2fykotLEv18edNHsaUiyJEtPr27cvy5cuxtramUaNGmJmZcevWLb7//ntOnz6NlZUVI0aMICsrqxSusGqjTErizpixZIWG4vztN1j07FnRJhWLwsUF27feIvbbb0kNCsKsbdsS9bM/PJYA16pfhEYbGrhZUdvZnK93hdHA3Qpvh9LZa3me0URi4gshRJJQS024Az5CiE/L3rSqw6ZNmxg2bBi3b98mIiKCu3fv4unpydGjRzl16hS3bt1CpVKxYcMGWrZsCYBKpWLTpk0ArF27Nv/5x/Hx8SEiIoLr168DsGrVKtq0aQNAq1atOHv2LEuWLMmfQaSkpGBiYoKFhQX3799ndwXIGFQ21JIRw8kOC8P155+qhBN4hPWQV9H39CR25jeInBytj09Iy+b83aTnPmyUvByICYEL6+GvT5BW9WF79ijela1nxLJT3E/RDYaKo9gZgSRJxsD7gJsQ4g1JktwkSWolhNhR9uZVDdatW8eUKVOeeK5fv34sWLCAZs2aMWXKFC5dupS/cQzqUX9oaCgNGzbEwsLiqcL2AIaGhixfvpwBAwaQl5dHo0aNGDdOHXkrl8vp3r07K1asYOXKlQDUrVuX+vXrU7t2bby8vGjRokUZX3nlJvfePW6PHElebBzVFi3EpHnzijZJKyR9fRw+/oi7b4whcdUqbEaN0ur4Q1fjEAI6+D4/jkCRkwQ3Dqhv/PdD4X4IxF0B1UNFX7kB2Psit3Ln9fQt/JPpy4jl+mwc2/S501gqTaSilh8AJEnaAJwBhgkh6kiSZIS6WE29crDvKQIDA0VwcDBBQUG0fThdDgsLw9fXtyLMKZKgoCC+//57dux42meamprmS1eXhNTUVMxKKbywLCmLz+bxz74wsm/e4s7IkagyMqi2aCHG9euXqg3lyd1xb5Jx+jTV9+xGz85Oo+sHeGvtWU7eTOTUxx1Kv/6AMhdy0sCoDGWfhYDIYLiyE6IvqG/+6bH/vm7mDI51wKE2ONQBR3+wrg5yPcjNhEVtyE5Polnyl/h5ubNsRKMqHzml6WdfEJIknRFCBBb0miZ7BNWFEAMlSRoMIITIlCprHT4dOoCssDDujBoNgPvKFRhWwkGCNjhMmcyNHj2Jnf0jzjO/1uiYR0VoOtd2LH0nkJcNawbArcNQrTF4d4ZaXcGuFjzrrUEIuHcGQrfC5T8g+S7IFODgBzU7cT3VkBote6tv/MZF5EUojKDvYgx+7cgf7ptodX0YU7Zc5IcBdSttGdGKRBNHkPNwFiAAJEmqDmSXqVXPCW3bti3Uez/LbEBH4WScPcfdsWORmZjgtmzZM4VeVhb0PTywHjaUxKXLsBqsWWW7M7cfkJqVV/rLQioVbBsPtw5Bg2EQfRH2T1c/rDzVDqFWZ3BrBnINl2IKu/nX6ADtp0KtLmCoLq0ZGRREDc/WmvXrXA/afUy1/dNZFNCcsWclXCyNeP+lWiW79ucYTRzB58AeoJokSWtQS0eMKEujdOgoCenHjnH3rQno2dvhvmwZCpfKoWh+7cE1jkcdZ5DPIPTl+iXqw/bNN0n+YzsxX30FY8cW2/5AfhGaUg4b3fcZhGyCjtOg5bvq51Ki4OoeuLIbTv8KJ+apb9w1X1LfxGt0zL+R5/PEzX87JN9R3/yrt4d2n6iPM7J8dntb/A+u7eWliO8ZF7CUXw5cx8nCiFeblJ+mVFWgWEcghNgrSdJZ1FXGJOB/Qoj4MrdMhw4tSN2/n3sT30Xf0xO3pb+iZ1c54uaz8rJ4N+hdbqfcZsfNHXzT+hu8LLy07kduaor9e+8R/fHHGJ46Be3bF9n+URGaUk2oOj4fjv0CjcdAi4n/Pm/uDIEj1Y/sNLh5EK7sUTuHS7+DTA/cW6hnCw5+cO1vCP3jPzf/j9Svl8bN/3FkcuizEGlBCyZl/cgV78+Zuu0SDuYGdPB1KN1zVWE03TlpA3QA2gGtys4cHTq0QwhB4uo1RL7zPwx8fXH/bWWlcQIAiy4u4nbKbd6s+ybR6dEM2jGIzVc3l6jQukXvXhgGBGC6ZSvKtPRC291NzOB6bBrtfUrxRheyBf76GHx7QOdvCt8LMDBVt+k9Dz64CiP/hmYTIO0+7JkMK3vAiYVg7wO9F8CH12DIRqj3auk7gUdYuUPXWcjuHGeR1zH8nM2ZsPYcF+4mlc35qiCahI/OB2oA6x4+NVaSpI5CiOdGLE5H1USVnU3MtOkkb92Kadu2OH//PXJTzQu8aH0+pYp9K8KIDE9EYaiHwkCOvqEchYEchYEeCkM5+gYP/zaU80CZwNGwEAY5v0EfsyH07dqXT098yrTj0zh67yjTmk/DwsCi+BM/RJLJcPzkYyIGDiJh0ULs33+/wHYHHmYTl5qsRMRR2DoW3JpC3yXqUbYmyOTg1kT96DQdEm5AbBh4tCjbaKOCqDsIru5G//BMfnt1Nz035zJyxWm2jG+Ou03ZfWeqCprMCNoALwshlgshlgNdgbZlalUVpSrIUDdp0oR69erh5uaGnZ0d9erVo169ekRERGjc15o1awgICCAgIIDmzZtz4cKFsjO8EHJjYrj92lCSt27Fdvx4XOfPK1MnIITgyIZrXDt9H5daVjh4mGNmbYhMLpGVlktiVBqRYYmEn4jh7F+3ObHtJlf+TKbt9cFYHq7Dllln+OPTK/S6+hbv6E3j/NUw+v7Rl9Mxp7Wyw6huXTKbNiFxxUpybt8usM3+8Fg8bU3wtC2F9+P+ZVj3qnojeNBadTROSbGpDr7dy98JgHoG030OmNhivectfhvmj1IIRiw/TWK69sl6zxuaLCBeAdyAR9+6asDFMrOoClMVZKhPnlSXjV6xYgXBwcH5Qnfa4OnpyaFDh7CysmL37t2MGTMmv9/yQHH9OremforIyMDll58x79SpzM958UAkIYfvUf8lN5r3rVFkWyEEKy+uYt7p+XweOJ2mti1IjssgMuwBd8MSyQmxoj+TyDJIY9Wl/Zyoc5lhL/XHwkqzG3danz6YXLzE/W++pdqC+U+8lpGTx4mbCQxtWgoCwcn3YE1/9c3/tU1Fh2tWBYytofd8WNUHr/Pfs3T4ZF5dcpJRK0+zdnRTjPQ1nOk8h2gyI7ABwiRJCpIkKQi4DNhJkrRdkqTtZWpdFaIqy1CfP3+epk2bEhAQQJ8+fXjw4EG+LRMnTqR58+bUqVOHU6dOAdC8eXOsrNSjuqZNmxIZWX6Svw/Wr8dq9o/ITIzx2LC+XJzArQtxHN10Da/6djTrXb3Y9pFpkcy79AtNvRrRre5L2LqaUr2+PW1ercVrXzRj6JfNaPeaDz5+btRMqY/sYDVWf3SS36Yd5eima9wOTSA3u/Ci9ioLC2zeHEfawYOkHTn6xGulVoQmM0ntBLJS1E7A8jmJsqneHpqMg5MLaZh7jp8G1eP83ST+t/4cyhe4mI0mw83PytyKUuTIxqvE3y3dGH3baqa0esW7yDZVWYZ62LBh/PLLL7Rp04bPPvuM6dOnM2fOHADS09M5duwYhw8fZuTIkYSEhDxx7NKlS+nSpUtJ3latUOXkcP+LL0n6/Xdyatem1rKlyC00X18vKXF3Uvl7aSj2bmZ0fN0PqZjkLCEEXxz/ArlMzidNPikwecnc1gi/lkb4tXRGqAR/ntrL9kP7cXxQndSD2VzYdxeZnoSLtxXth/piamXwVB/Ww4eTtGkT92fOxKTpNiSFOmb/QPh9TA30aOTxDKP3vGxYPwTir6mdgKN/yfuqjHScBjeDYNt4Oo8/zufd/Zj252Wm/xnK9J61X8iEM01E5w6hXh6yAMyBK0KIQ48eZW1gVaGqylAnJyeTlJSUL2b36ByPGDx4MACtW7cmJSWFpKSk/NcOHjzI0qVL+fbbb0v2pmlIbmwsd4YNJ+n337EZM4akt8aXixNIe5DFznkXMDRR0HV8AAoNlg7+vPknx6OP826Dd3E0cSy2vSST6Nn0Jb6c8C6RbY/xa8MPud/uNL5tHIi5kczO+RfIycp76jiZvj4Ok6eQc/MmD9auBUCpEhwMj6NVTduSSymoVOqN4dtH1VE9Xm0LbJaUlcTVB1dLdo6KRmGk3vTOSIAdExnR3IMxrb347fhtfj1yq6KtqxA0iRoajXpWcAB1HsEvkiTNEEIsK2vjSkJxI/ey4HmWoS7M/osXLzJ69Gh2796NjU3ZlQTMPH+eyLffQZmWhsucHzHv3JnLQUFldr5H5GTlsXP+RXKylfT7sCEmFk+Pyv9LQmYC353+jvr29RlQa4BW53M0cWTpS0tZGrKU+efnc8rkIJMGzCB8TRp7l12myzj/p6QiTNu1xaRlS+LmzsO8Rw9+Co4jJiWLHnWdtTr3E/w9VZ3k1WkGBBR8DTnKHMbsHUNYYhid3DvxbsN3qWZWreTnrAicAqD9J7BvGlxYz5TOg7gZl87svVcZ2Lga5i+YQJ0mw4YPgfpCiBFCiOFAQ2By2ZpVtajKMtQWFhZYWVlx5MiRp84B5KuiHj16FAsLCywsLLhz5w59+/Zl1apV+bOVsiBp0yZuDx2GZGCAx/p1mHfuXGbnehyVSrB32WUSItN4eXQdbFxMNTru29PfkpGbwbRm05BJ2o/I5TI5YwLGsLKLWk124o3RxDUIJeJiPMe2XH+qvSRJOHz8EarMTM599jW/HLjOK4GudKlT/EykQI7NVWcFNxkHzd8ptNmcs3MISwyjZ/WeHL13lF7bevFD8A+k5KSU7LwVRfN31Iluuz5ElnyH/3WoSWaukq1n71W0ZeWOJt/WSCD1sb9TgbtlY07VZN26dfny0o/o168fa9euzZehrlOnDp6engXKUB84cIDPPnt6K+ZxGWp/f39kMtlTMtS7d++me/fuwJMy1CNHjtRYhnrlypV8+OGHBAQEcP78+SdssbKyonnz5owbN46lS5cCMGPGDBISEhg/fjz16tUjMLBAQcMSI3JyiJkxg+ipn2LcqBEev2/EsFb56cMc23SdiIvxtBrojXsdzWY7hyMPs/vWbsYEjMHLUvvM4cepa1eXTT02MbLOSPaYrOWS4yEu7LvLn38efWqWaODlhazvKxjv20UX/SRm9KpTsjXuS5vg70/Arxe8/HWhCWOHIw+z6vIqBvsM5quWX7Gjzw66eXVjZehKum3pxrrwdeQ+koSu7DzMOkaSYOtY/J1NqetqwaoTt0uU8FelEUIU+QB+A84B01DrDp0FFgLvAe8Vd3xpPxo2bCiEEOLgwYPiEZcvXxaVkYMHD4pu3boV+JqJickz9Z2SkvJMx2tCmzZtxOnTp5+pD20/m9zERHFryBBxuZaPiPn2O6HKzX2qzeOffWlz8eBdMXfsfnF4wxWNj0nLSRMdNnYQvbf1Fjl5OaVqT0p2ivj1wlLxyccLxM9j/xbjln4gftz5o1CqlOrXM3NE1692iuMBgeLKgEFCpVJpf5IbQULMsBViaWchcjILbRabHitar28t+v7RV2TlZT3x2uX4y2LknpGizoo6osfWHuLQ3UMls6UYyuSzP79OiM/NhTj8g9hw+o5wn7xDHL8RX/rnKQWe5fqBYFHIfVWTGcENYBsP1UeBP4BowOzhQ4eOUiP2m2/IunAR51mzcJj0IVIp51EUxe3QBI5svIaHvw0t+tfU+Lifzv5EbEYs05pPQ6Gp4qaGmOmbMSpgJJM/Hoq+raDW2fZsub2LXtt6sfnqFt7dcIbwNFCMfQvlxfOk7NyleecZibDzA1jVG6y9YPBaUBRc0lIlVHx09CMycjOY1XoWBvIn90x8bXz59aVf+bndz6iEirf2v8WYvWO4knjlGa6+nAgYCLX7wMGv6Wkfh7mhHqtPFJys97yiiejc9PIw5HmkqstQB5XDpuzjZF+7RvL2P7EZNRKLHt3L9dwJ99L4a0kINi4mdBpVW2MN//Ox51kfvp5XfV+lrl3dMrPPzMSEV99rzaZvg3nl6nsct1vHtOOfo8o1p3Pz/tTqOIq4fX8SO2sWZu3bITM2LrwzZS4EL4ODX0N2KgSOgnYfF5nxuyxkGSejTzKt2bRCl74kSaKdWztaurRk49WNLLiwgAF/DqBPzT5MqDcBO+PKowH1BJIE3WbDnZMY7pjAgAaL+O3kXeJSs7EzKz5I4Hmg2BmBJEl2kiTNkiRplyRJBx49ysM4HS8WcT//jMzEBGstSzI+K+nJ2eyYdwF9Azndxgegb6jZLCRHmcPnxz7H0cSRt+u/XcZWgpm1Id3GByDL0ad9yDhybo/CRt+FwwnLeHlrF46+4kPe/fskLF9eeCfX98PClrB7EjjVhXFHodv3RWYNX4i7wNxzc3nJ/SX61uxbrJ0KuYIhvkPY2WcnQ/2Gsv3Gdrpt7caiC4vIzMssyaWXPcbW0PlriA1ljFUwuUrBxuAXZytUk2/8GmAD0B0YBwwH4srSKB0vHpmXLpG6dx+277yNnlX5adHk5ijZNf8iWWm59P2gIaZWBS+NFMTSS0u5mXyT+R3mY6IoH+Eye3dzTOtDSnAG/c3q8skrE7iRGsaykGXMuvMnH9aSU3/pEqxeffXJ9zHhBvz1CVzd/a9uUK2uxVYUS81JZfLhyTgYO/B588+12oi2MLDgw0YfMrDWQH488yNzz89lTdgaalrVxMnECRdTF5xNnXE2dcbF1AV7Y3v0ZOW3FPgUvr3AqR4OwbNpU30ea0/eYVyb6shLu8JbJUSTd91GCLFUkqT/CXUC2SFJknSJZDpKlbgf5yC3ssJ62PDiG5cSQiXYv/wysXdS6TLWHzs3zbe8biTdYPGlxXT17Eor16KV2fOSs1EmZ2PgZq6FcUK9hKP3ZCGb9Ow8Fsdk4WmuoGmKxMU9t2na258f2/3IzeSbrJBm0ODrk2z94nV6ztqAQW42HJ4FJxaAngF0nA5N31T/XqwJ6izpmPQYVnRegbm+FvY/hpu5Gz+2+5HgmGA2X9vMvbR7HI8+TlxGHIJ/o3PkkhxHE0e1czBxfsJReJh7YGtkW6Lza4xMBh0/h1V9mOxxnK436nAwPJaOfs9/3QJNHMGjWLBoSZK6AVGAa9mZpONFI/3ESdKPHcN+yuQyVRD9Lyf+uMGNc3G06F8Dr3qar1+rhIrPj32OqcKUyY0LT6nJvZ9O6qFIMs7HgUpg1sEN845u6lG1SqUuxJ50V12gJemuukTj4z9zUsHCLb9Au3Cow/enJaLTZHw9OhDl6UTO7LmNhb0Rvs2d8bLwYtrQZRwO6k2NvVeYsLIrXz24jX1qPNQbAh0+AzPNb2rbrm9jd8Ru3qn/DvXs62l8XGEEOgYS6PhvqHGOMoeY9Bjupd0jKi1K/TM9iqi0qAIdhanCFBvJhr1H9+Jp4YmnuSeeFp5UM6tWepv0Xu3AszW+1xbjYTqH1Sdv6xzBQ76UJMkCeB/4BbXMxLtlalUV5auvvmLt2rXI5XJkMhlWVlY8ePCAtLQ04uLi8PRU18+dP38+zZs3p27duvj5+eXLUQCMGDGCQ4cOYWFhgRCC2bNn06FDh4q6pDJHCEHcnDnoOTpi9VDOojwI3nWLs3/doXZrF+p20C4rdsOVDVyIu8DXLb/G2vDptfXsiGRSD0WSFZaIpJBh2tASVdRVUvdD3um/sDb5FSnlFij/I39saKG+8Vt5gEcr9eZtwjWICYGre5CEis+Bj4wM0D9UB6WdP6nOnQhaHY6ZmQpXf1dkkoxmI0dw4/gn+B6MYlAHE+Z0mUmAn3aZzreSbzHz1EwaOzZmZJ2RWh2rKfpyfdzM3XAzL1jQ7pGjiEyNJCIlglvJtzh7+ywnok+w/ca/epdySU41s2p4WHg84SD8bf2Ra1o74RGSBB2mIf3anq+rHWbI1bbcTcygmnURm+/PAZpEDe14+Gsy6gplOgrg+PHj7Nixg7Nnz2JgYEB8fDw5OTk4OzsTFBTE999/z44dO/Lbh4WFoVKpOHz4cL543CNmzZpF//79OXjwIGPGjOHatWsVcUnlQlpQEJnnz+M4fToyg/KJ0AjedYuT229Rq4kjrQd5a7XuHZMew5wzc2ju3JzuXv9GNgmVIOtKIqmHIsmJSEFmrIdZBzdMmzsj/+M1RPweFMbDSE7pT2zeZGzrX0bu4AgW1cCymvqnYeFLL8fDI5n521YGuCbTVhFGNUUy8vBtvJy3kc2ymeyZn0o/j+FY2coxuHsSy5rOdDkv52Q7O0acmcln+gp61+it0TXmKHOYdHgSBnIDvm75tfY301LicUfR3KU5AEFZQbRt25b03HQikiO4mXyTW8m38h3FP/f+yU9o61W9F1+2/FL7E7s2BN8eNL2xFlupIWtO3mFKF5/SvLRKRwXuzDxfREdHY2tri8HDm5mtbdHrmWvXrmXo0KGEhYWxffv2fHG3x2nWrBn37j2/6e5CpSJuzk8o3Nyw7Nun+ANKgeBdEflOoP1wX43DREE9e/nyxJcIBJ82/RRJkhBKFRnn40g9HEne/QzklgZY9PDCpJEjMn05xIarR/PtPsas7WT0QuNJXH+F2BBXbBrURl8D+YrIBxmM33gZO7sA+o5qwenjR6nWti0IgUFKFN2vhrBpNeyIeZv+JgswajMZ22H9Se7Zj+8imvBFy/t8+s+nXEm8wvuB7xe7IfvjmR8JTwxnbvu5OJhUzmURE4UJtW1rU9u29hPPK1VKotKiWBa6jM1XNzO89nBqWmmeE5JP+0+Rhe9kpt3fTAq24d1ONTHQe37rFZSZI5AkaRnqSKNYIUSdAl5vizo57ZHc3xYhxIxnPe/BFYuJvX3zWbt5Ant3L9qNGFNkm5deeokZM2bg7e1Nx44dGThw4BOaPf9lw4YN7N27lytXrjB37twCHcGePXvo3bv3s5pfaUnds4fsK1dwnjUrX0a5LFE7gZslcgIAf0X8xaHIQ3wQ+AHOBk6kHr1H2tF7KJOy0XMwxuoVb4zr2iHJH4vKPvYL6BlBo9EAGNW2xe5NQxJWhhK38ALWA2thVKfwQUNWrpKxq86QpxIsGhqIyePF6CUJLFwwb+RCV5tkts0+x+6sr+nVsj76ChmW/fuRtHkLv7zxJz9brmd12GquJV3j+9bfY2loWeD5Dt09xOqw1QzxHUKbaoV/fysrcpmcaubVmNhgIntu7WHe+XnMaTdH+47sakG9V2l/YQOGGW3YfSmG3vVdSt3eykIJtWo1YgVQnErYESFEvYePZ3YCFYmpqSlnzpxh8eLF2NnZMXDgQFasWFFg29OnT2NnZ4e7uzsdOnTg7Nmz+cVgAD788EO8vLx47bXX+Pjjj8vpCsoXkZdH3E8/Y+DtjXm3rmV+vkdOwLuJQ4mcQFJWknrN3Lwhve61JuabUyTvuInc0gCbEbVxmNgAkwYOTzqBlGi4uAHqvwYm/2oW6TubYj+hPnqOJiSsDiMl6G6B2jZCCD7eeonL0Sn8NKhekaUnHb0s6DDCl+jryRxYFYYQAttx45AkiQcLFzO58WS+aPEFZ++fZfDOwVx78PRyY2xGLFP/mUotq1q827BqbwNaGFgwzG8Y++/sJzQhtGSdtJmCJMmYavrHc59prIkMtQVqnaFHMXKHgBlCiOSijhNCHJYkyeNZDdSW4kbuZYlcLs/PJvb392flypWMGDHiqXbr1q0jPDwcDw8PQK0aunnzZkaPVo8aZ82aRd++ffn5558ZPnw4Z86cKcerKB+St20j5/ZtXOfPQ5KV5XgEgnf/6wQ6DPfT2gkAfH/6exrer8W7icNIy4rE0M8GszauGLgXEVJ5ciEIJTR766mX5Gb62I/xJ3HTNVL2RJAXm4FV35pIj9UR+O34bbacvce7Hb1p71P8Ek3NQAeSYzM5uf0mlg7GNOrmidXgQSSuXoPN6NH0rtEbLwsvJh6cyJBdQ/i65dd0dO8IqJdUPjryEdnKbL5r891TEhJVkdf8XmNN+BrmnpvLgo4LtO/AshpS4zfofHw+P9zpTHhMHXwcSxZCW9nRZGloGRACvPLw76HAcqD4FMPiaSZJ0gXUIakfCCEKdN2SJI0BxgA4ODgQFBREWlpavgSChYUFqampBR1ably7dg1JkqhRQ13P9uTJkzg5OZGamkpGRgZ5eXmkpqaiUqnYuHEjx44dw9lZrRt/+PBhZs2axcCBA8nNzSUzM5P09HRGjhzJ8uXL2bp1Kx07dnzifEqlssKvWROysrKelqrIzcX2h9koPT04I0mgpZTF4599ccSFCmIvCSzcQc89lsOHtc+FjHhwnYYhLjRKf5lMSxVxDVXkmMXCrdh/Fzb/gzwvg2YnlpBo24zLF2/zb8nv/+AIVukSnI0l4eZ9ohuoUOnDrWQlX57Ior69HH95JEFB/+4VFXX9wkhg6QGn/rzFvbgIrGvXxlYuJ/Szz0kZpY7++Z/1//g17lfeDXqXLhZd6GzRmb0pezmVdIpXbV7lzrk73OGO1u9TeaDNZw/QxqgN2+9tZ9meZXgZaq8Kq5Ca0Fi+lA8VG/luszvDalesg9T2+jWmMDW6Rw/gvCbPFXKsBxBSyGvmgOnD37sC1zTps7KqjwYHB4tmzZoJX19f4e/vL/r06SPi4uKEEE+qkB48eFA0adLkiWPz8vKEo6OjiIqKEsOHDxe///57/mubNm0S7du3f+p85aE+WhoU9NkkrFwpLtfyEWnHj5eoT00VGIN33xJzx+4Xfy8NEUql9kqYKqVKJP4TIa5+tFdc/2ifSDwcIVSa9vPPL2pFy8hgjZqnX4gVdz85KqK+OSmyo1JF/wX/iIZf7BXJmU+rmRZ3/Xm5SrHl+zNi/lsHRNS1B+L+9z+Iyz6+IvPKv4qqWXlZ4pMjn4g6K+qIUXtGibor64oPgz4sE8XQ0kRb9c30nHTRZn0b8fqe10t+bQe/EeJzczHw019EatbTarjlSUWqj2ZKkpRfNUWSpBbAMwuGCCFShBBpD3/fBSgkSSrj1MGyo2HDhhw7dozLly9z8eJFtmzZkh851LZt2/zQ0bZt23LixIknjpXL5URHR+Pk5MSKFSvo379//mv9+vVj//795XchZYwqPZ34hYswbtoUk6ZNy+w8Z/ZEcGLbTbwbO9BhhPbLQbnxmcQtuUT69juEGd0kebgpVq3ci61ZDKgzgk8sAPeW4NJQo/MZB9hhPzYAkSeInn8BeUQq73XyLlGlLLmejC5j/TGzNmTXwkvo9R6CzMSE+F/m5rcxkBvwRYsvmNJ4CsH3g3E0ceTTZp8+d/V6jRXGvBHwBqdjTnMy5mTJOmk2nlxDG94Ra9h2NrJ0DawkaOIIxgHzJEmKkCQpApgLjH3WE0uS5Cg9/NZJktT4oS0Jz9qvjspN4qpVKBMTsZ/4vzI7xyMnULOR9k5AKAWphyO5P+cs2VEp/OS0hnMdomlQq4nmBoRsgZRIaFF4la+C0K9mhvWbAdxVKfkOI7plSyUukGJoqqD7W3URQrBn1S1Mh44kde9eMkP+XX2VJIkhvkPY0H0DKzqvwEz/+VSV7+/dHwdjB34590vJ3k8DM/Tafkhz+WVCj/7xXBat0cQRpAgh6gIBQIAQoj5PViwrEEmS1gHHgVqSJEVKkjRKkqRxkiSNe9ikPxDycI/gZ2CQeB7fYR35KJOSSFi6DNP27TGqV69MzvG4E+j4unZOIDcmndgF50nedQuDmhZM8/+VM05XeTdQiwgaIeDYz2DnAzU6aW3/hvD7jFamkuFuRuquCB5suobIVWndD4ClgzFdx/mTHJfJ6dxAJEtr4n75+al2taxr4WhSwvKWVQADuQFj647lYtxFjtw7UqI+pMCRpBk5Mzh1OWcinr/xqiaOYDPkL+U8Kkq6qbiDhBCDhRBOQgiFEMJVCLFUCLFQCLHw4etzhRC1hRB1hRBNhRDHSn4ZOqoCCUuXoUpLw+5/2o2UNaWkTkDkqUjZd5v7v5xD+SAb68E+bK9/klPpZ/ikySfaia3dOAD3Q6D522oRMy1Iycplzr6rNKhug/eYuph1cCPjzH1iF19EmZytVV+PcK5pRbuhPty7nsrNDh+SdugwGWfPlaivqkzvGr1xNXVl7rm5qEQJHKueAYqOnxAgu8WlvatK38AKptBvqiRJPpIk9QMsJEnq+9hjBKC5Vq8OHUBeXByJq1dj3q1bmdQffsIJjNA8TyDnbir3fzlHyr47GPnb4vBeQ+I8M1hwcQEd3TrSwV1LnadjP4OpI/hrp+0DMP/gDZIyc/m4qy8yuQyLTu7YvOZL3v107s89R/btkhWH92nqRGBXD24lmBNZqxdxPz89K3jeUcgUjK83nrDEMPbd3leiPgzqD+a+oSdt7y0kIbnyF5bShqKGLLVQZwZbAj0eezQA3ihzy3Q8V8QvWozIycHu7Qml2q8QgpPbbz7pBOTFj8SFECT/FUHs/POIzDxshvthM8gHmbEe049PR1+mz0dNPtLOmOgLcDNIY5nnx4l8kMGyf27Rp74LdVws8p83qmOL/fh6SAo5cYsvkn4qRjubHtK4hyc1A+255vQSEdezSP9PwMKLQFfPrnhaeDLv/DyUKqX2HcjkKNt+iqcUQ8iuEuQlVGIK/Y8RQvwhhHgd6C6EeP2xxzu6ZRwd2pB77x4PNmzAsl8/9N3dS61flVLFwdXhBO+KwLeFk8ZOACDtWBSpB+9i3MABh/caYuSrzvzden0rp2NO817ge9gb22tn0LFfQN8MAl/X9lL4/q8rSMAHLz09W1I4muAwoR4GXhY82HIN28sSIk+75Q1Jkmg/3BcHDzMu+43g2tx1z+WmZ1HIZXLeqvcWN5NvsuuWFrWdH8O5SV+uKHzxuzofVXZGKVtYcRT7XyOEOF4ehlR1JEli6NCh+X/n5eVhZ2dH9+5qhcrt27fzzTffFNlHVFTUE6Gjzwtx8+YjSRK2498stT5zc5TsXhRC2D/RBHb1oN1rPho7gezbKSTvvIWhnw1W/Wsie1iaMi4jju+DvyfQIVCjkoxPkHRHHS3UcLhaTloLLkYmse18FKNbeeJsaVRgG5mxAtsRdTBt7YLlHRlxv15CmZZTYNvC0FPI6Tq+LkbGMk7rt+P+nsNaHf880Mm9Ez7WPiy4sCBfpVQrJIn4ph9hJxK5ufvH0jewgijb3P4XCBMTE0JCQsjMVKdY7N27FxeXf0WqevbsyZQpU4rsw9nZmU2bit2Hr1KIvDySt23DavBgFI6lE5mSly3YPuc8EZfiaT3ImyY9vTSOf1em5ZC4Ngy5pQHWA56UoJ55aibZedl83uxzZJKW/xonFqhF4Jpq5+yEEHy1MwwbE33GtaleZFtJLmHZ1YuYABU5kWnE/nKenEjtssuNzfXp8W4jVHJ9/tocS3ZGCW6GVRiZJGNCvQncTb3LH9f/KFEfjdr04B+pPk4XF0BmUukaWEHoHEEp0qVLF3bu3Amo9YQeVxRdsWIFEyao18dHjBjBO++8Q/PmzfHy8sq/+UdERFCnTp389r1796ZHjx54enoyd+5cZs+eTf369WnatCmJiYkALFmyhEaNGlG3bl369etHRoZ6utqrVy9+++03ABYtWsSQIUPK5034D8qUFGSGhtiMLR0NqNTELCL2C2LvpPDy6Dr4t9W8WJ5QCRI3XEGZnovNEF9SkuNIjo1BpVKy/85+9t7ey7i64/Cw8NDOqMwHcGYl1OkPFtoV79sfFsvJW4lM7OSNmYbJY2nOAvs36wIQu/AiGeditTqnjbslrZsoSZdbsuvbw6iUJQtPraq0dm1NgG0ACy8sJFupfTSWvp6M6/7vYaJKJfXA7DKwsPzRRHTOAfgacBZCdJEkyQ9oJoRYWubWlYCkP2+QE5Veqn3qO5tg2aPo0RrAoEGDmDFjBt27d+fixYuMHDmSI0cKjluOjo7m6NGjhIeH07NnzwKXhEJCQjh37hxZWVnUqFGDb7/9lnPnzvHuu++ybt06pkyZQt++fXnjDfXe/dSpU1m6dClvv/02ixcvpkWLFnh6evLDDz88lc1c1qiUSlLux5CZl0t407rE79uFbTV3bFzdsHJyRq6nfcZsYlQ6f/5yntxM6PF2PVxraVfkPmX/HbKvJaFsrM8fy7/hzqXzAMj09EgxyqGnuQfVEVy4vwtLR2esnJwxs7YtXhTv9FLITVeHjGpBrlLF17vDqG5nwqBG2lVJ03cxxf7teiSsCSNxwxVyotKw6OyJJNdsZuQzogv3//qEUOlljmy4SuvBtZ67rOLCkCSJCfUnMGbvGDZd3cQQX+0HSR3adeSPc83pemYRtB4PZlU7D0MT0bkVqEXmPnn491VgA1ApHUFFEhAQQEREBOvWraNr16KllXv37o1MJsPPz4/79+8X2KZdu3aYmZlhZmaGhYUFPXr0AMDf35/g4GBA7SymTp1KUlISaWlpvPzyy4BanG/GjBm0a9eOrVu3Ym39dEnFsiI3O5uk6HsolUokIFVPzsktGxEP47dlcjlWTi7YuLph4+qGbTU3bKq5Y+XojExecPGP6BvJ7Jx3AbmeDM/2ktZOICMsnpT9t4kRERzesBETSytaDhqGkbk5u85sJjHyBr4qTy7t3UNe7r9r73oKfSwcHLFycs53Dm516mHp8PAfPzcLTi6C6h3UtYW1YP3pu9yMS+fXYYEoNNzfeBy5qT52o/1J2nGTtCP3yI1Jx2awDzLj4p2spKdHg9fbkDp3HyGHO6JSgV9LZ+zdzV4Ih9DUqSmNHBux5OIS+tbsi5FewXszheFqZcx897F0ixyJMug75D2q9sxAE0dgK4TYKEnSRwBCiDxJkkoQe1U+aDJyL0t69uzJBx98QFBQEAkJhWcgGjxWlrGw6I3H28hksvy/ZTIZeXl5gHqZadu2bdStW5cVK1Y8oUx46dIlbGxsiIqKepZL0oqMpAekJsQjCYGpAGMLS0b+vIS8nBwSoyJJuHub+Mg7JETe4f6t61w9+Y86GxeQ6+lh5eyKnbsnbrUDcPOvh7mtHbcuxvPXkhBMrQzo+U49zoZorhmTk5lB6O59WJwwIiMvhcuc4qVx7+Dbsh16CgVn7p9hTeQJhrYbyrhGkxAqFamJ8TyIjiIpJooH0VE8iIki8V4kt84Fo8zLQ66nR+Per9C49wD0Lm5QF6HXUk4iNSuXOXuv0sTTmg6+WkYnPYYkl2HVqwb6zqY82Had+3PPY/t6bRR2xdfYNevcGb+FixCptoQfl7h8NApzW0NqBDpQM9ABGxeT59YpSJLEhHoTGL5nOOvC15WoLnOnVs1Zt6odQ86ugJodwafs62qUFZo4gnRJkmwAASBJUlPU9Yt1FMDIkSOxsLDA39+/bORi/0NqaipOTk7k5uayZs2a/A3qU6dOsXv3bs6dO0ebNm146aWX8PT0LDM7VEolKVH3yMrJRk+lwszcAn07e2RXrgCgp6+PvYcX9h5PSgHnZmeReC+S+Lu3ib97m4TIO9y+eI6wIwcBMLF0ICvTESunWnQb3x1zW81GbulJDzi7ezsX9+6hpXlvZIamGPd0YVjrn/OXerKV2Uw7Ng0XUxcm1FPv30gyGea29pjb2uPuX+/Ja1QpSYqJ4fimtRzftJbwY4foZHORao4B4KldNa+Fh26QkJ7D8m6+pXKzNWnkiJ69MQmrLhP/6yXs3qyHnmXRuQySTIb9/94h560JNJn2FQnVmnL9TCzn/r7D2T23sXI0fugU7LFyLLwoTlWlgUMDWri0YFnIMl7xfgVT/eLLhj5Om5p2dDUbQdO8u9TcOAxe+a3KOgNNHMH7wHaguiRJ/wB2qHWCdBSAq6sr//tf2Qmq/ZcvvviCJk2a4O7ujr+/P6mpqWRnZ/PGG2+wfPlynJ2d+eGHHxg5ciQHDhwokxFebkoKSXH3UQKGkgxzNzeNC9ErDAxx8KqBg1eN/OeEEMTdieDYxoPcOn8OoQojPuICyyduwqF6DTC34o6tFc7evujp6z/RX8K9uwT/uZWwIwdQKpW08x2CTaYz1kN8MPa3e6Lt4ouLiUiJYGHHhRgrih9By2RyrJ1d6PbOh/i1bs/+hT+w8ZINtevWoE1aKkZmmklRRCVl8uuRW/Su50yAq6VGx2iCgbs5tiPrELfoIvFLL2E3ri5yk6KXiR7pPiV9P5Pqv2/Er0U9MlNzuHEujmun73N65y1O77iFjaspNQPtqRnooLEzrgq8Xe9tBu0cxKqwVbxZV7uIL5lMol+z2vTb9QF/2c7BceMwpIGroFaXMrK27JA0SSqRJEkPdaaxBFwRQlRYzFlgYKAIDg4mKCiItm3bAhAWFoavr29FmVQhpKamYmZWsWqRIi+PjOgo0rKzQJIwM7fAyNbuCWdTks9GpRIc3XiNS0GReDdxoM3gGsTeusadkAvcvnSBqKthIAR6Cn1cfGvjVqcu1i7VCDn4NzeCT6Kn0Kd2247U9e5I9q77mLZwfmrJMCY9hi5butDZozMzW80s0fXnLunMicvpBN+3xsDYhLbDRuPbql2xzva9jefZcTGaA++3wdWqeAf0Xx7/7hdE9s1k4paFoHA0xu4Nf2QGRY/3cqOiuNWvP3Jrazw2rEdu+u/IOD0pm+tnYrl+5j4xN9USF/Ye5mqn0MgBE4vyLdRS3LWXhIkHJ3Iy+iR7+u3BwkC7HBClSvDJ1kvsOh3OLqvZuGRfL1Nn8CzXL0nSGSFEYEGvFbtD9VAddBKQJYQIqUgnoKNyIIQgLzGR5Js3SM3JRi6XY+NaDWM7+2eecShzVexdGsqloEjqdaxGx+F+6Bsa4Opbh+YDhjB4xnfUGzmB3pM+I6BjZ9ISEziydgV/zPqCe1fCaNpvMG/MX06bniPI2RePvrs5Fl2fXhJbEboCBLxTv4QCeHdPo7h3nFYDh/DaNz9h6ejE7nmz2fTlVB5E3yv0sJB7yWw9d4+RLTxL5AQ0wcDLAptXfciNSiNhVVixWcgKZ2dc5swhJyKCqClTEKp/25tYGlC3QzX6TQpk6FfNaNa3OkIl+GfTddZ+foLoG1V/lXh8vfGk56arvxNaIpdJzOzrz5C2AXR98B63FdURG4bClT2lb2gZosnSUE9gILBRkiQV6oihjUKIylnLTkeZosrMJCcqijRVHnlyGUbGJpg5OCIrhbrDWWm57Fp4kejryTTvV4P6ndwKbCfXN6B6w8ZUb9gYgLQHicTficDFxw+FgSGqHCWxS88jKSSsX/V5sqA8kJCZwOarm+levTtOpk4lM/bYT2BoCfVfw87AlMEzZnFh3x6OrF3Byg8n0LTPQBr16vdEmKwQgq93hWFppGB8u7INajDys8GqnzcPfr9K4oYrWA/2KbKojkmTxjhMnsT9r2cSv3AhduPHP9XG3MaIBi+50+AldxKj0tm18CLbfzpH1/EBVPMpv6i00sbbypvOnp1ZE7aGIb5DsDXSrj6WJElM7uyDlbGCnrveZ5vZLDw3vIY0cDXU6lxGVpcumkhM3BZCfCeEaAi8irouQSGVWiuOF003pbwRSiW50dFk3LpFilCilMsxt7PHwsm5UCegzWeSdD+DTd8Fcz8ihU6j/Ap1AgVhamWNR90GKAwMEUKQtPU6ebEZWA/yQa+ApYvVYavJVmaXKFIEgIQbELYDGo0GA/UyiiSTUe+lrrz+40KqN2zCPxtX89ukd4gM/7cQTNCVOI7dSGBix5JVHtMWk4YOWHTzJPNSPEnbrhf7eVgNHYpFr17E//wLqQcOFtnW2tmEPu83wNzWiJ1zLxJxMb40TS93xtcdT44yh5/P/kyeKq9EfYxpXZ2p/ZvRJ+1Drss8EBurzsxAo2GcJEkekiRNAtYDPqiXiioNhoaGJCQk6JxBGSFUKrJv3CQjOYk0AwWSQh9rF1eMzQtfTxVCkJCQgKFh8YrlUdcesOm7YLIz8ug9sT7ejUqenJN+KoaMc7GYd3DDsObTuQYpOSmsD19PJ/dOeFqUMIrq+FyQ60OTpwv1mVpZ0+PdKfSZ/Dl5Odls+Hwyfy/+hdQHSczcGYqXjRGDAl1QKZXFP0qikPkfzFq5Yta2GumnYkj5+3aRbSVJwnH6NAxr1yZq0iSybxY93jOxMKDPew2wcTFh98JLXAsuOB+mKuBh4cFgn8Fsvb6VQTsGcfb+2RL180pgNb4d0prBmZO5ipvaGVz9q5StLX00ySw+CSiA34EBQoibZW6Vlri6uhIZGUlcXFxFm1JuZGVlYWioHgGXVay3EAJVXh656Wnk5eSgkiT09PUxMjMnvpibBKgdtKtr0ZILV05Ec2BVOOa2RnSfEICFBvHvhZETmUrS9hsYeFth1r7gGcX68PWk5abxRkAJldTT4uD8Wqg7CEwLj//3atCIan7+HNu0ljM7t3Fp/1+8/PC1uUM1Sz6SyeVUqx1AjcCmVG/UBDPrkpX0Nn/ZHVVGLqkH7yIzVmDWyqXQtjJDQ1zn/sKtfv2JnDABj40bntg8/i+Gpgp6TazPjnkX2Ls0lLwcJb7NnUtkZ0UzqdEkGjg04LvT3zF8z3C6eXXjvYbaq9B2ruOI+ch2vP6bjGWyr6i1/jWkQavB++XiD64gNNkjGC6ECC9zS54BhUJRpjHylZF9e3aTfTWE8GOHMbOxxdZVnZ1r4+qm/t3VDYUGo/FHCCFIibtP1LUrRF8LJ+baVWIjbqB8mLhmJMkIHDyMBj36Fi+5oOH5Tv15i+BdEbjUsqTzGH8Miwl1LApVRi4Ja8KQm+pjPbBWgevhGbkZrL68mlYurfCx9inZiU4thrxsjeQkFIaGtHltJB5NWvHpL79jbazHwEZuaOq2s9JTuXn2NPuXLWD/sgU41vCmRmBTMpFrNQCQJAnL3jVQpeeSvPMmMmM9TBo6FG63kxMuc37kzshRRE2ajOvcX4r8zPWN9Ojxdj12L7zIgd/CyctRaaUBVVmQJIlO7p1o4dyCpSFLWR6ynIN3DvJm3TcZ4jsEhVzz72fz6rYseqMjY5fJWKCagc/615ANWgPeL5XhFZScQh2BJEmvCSFWA10lSXoqS0IIUbVzqqswN86cInTDClTZWQR0eJmczEwSIu9wJ+RC/o0bwMLeQS3jUM09X+fH2sUVhb4B2RkZxNy4SvS1K0Rfv0L0tStkpqgjQPT0DXCsXpP6XXpiHBKO3q49+G7ahKG3d6nYn5er5MBv4Vw7fR/f5k60ebUWcr2SOxehVJG48SrKlBzsxgYUGju/5doWHmQ/KPls4N4Z+GcO+PUE25oaH7bhhpLDxnXZOr459d20k8ZoM3Q0ifciuX76ONdPH+foerWQYPShv6nRqCk1GjXDqYZ3sc5ZkklYD/YhfkUoDzZfRWakh5GfTaHtTRo3xmHyZO5/9RXx8+YXW1BIYSCn6/gA/loSyuH1V8nNVtLg5dKrPVGeGCuMebv+2/Sq3ovvTn/HD2d+YMv1LUxpPIXmzs017sff1YJlb3Zi/BIZs7On4bt+SKV1BkXNCB6lEhYUrK5bjK8AstLTCFq5hNBD+zGytqXfZ1/j4Plv9IlKqSTpfjQJd+8QH3lb/fPubSIunEOlVDsISZJhYmVF2oPEfGkHa2dXvOo3wqmmN041fbCt5o5MLicn8h43v52DeY8epeYEMlNz2L3wEtE3kmna24sGL7uXeGlLKFVknIklJeguysQsLHtWx8Ct4KSuHGUOy0OXE+gQSH37+tqfLD0eNgxTl6HsPkfjwy5HpbD48E36N3TV2gmAepRq41oNG9dqNOnzCqkJ8exetwpZciJndm7j9PbNmFhaUT2wCTUaNcOtTkChgn6Sngybob7ELblEwtpw7EbVwcCz8H0eq9eGkBUaSvy8eRj6+WLWoeiynXoKOZ3H1mH/ijCOb71BbraSxj08q6xMhZu5G3M7zOXQ3UN8e/pbxu4dSyf3TnwQ+AHOppotf1W3M2X5+Jd481c5X6VOxW/9q8gGra10zqBQRyCEWPTw131CiH8ef02SpBZlapWOp4g4f4a/Fv9CemIiTfq8Qo6d8xNOANRrytbOrlg7u1Kzyb8jF2VeHkkxUcTfvUNC5G2S7sdg5eiMU81aOFb3xrCQNeC4n34CmQy7d7RT1SyMBzHp7Jh7gfTkHF5+ow41GpZQY0cFaSejST14F2VSNgpXUyx71saoiBDGP2/8SWxGLF80/6IE51PCppGQHgej/gJjzUIl85QqJm++iKWxPlO7lU7Co5mNLfZ16tO2bVuy0tK4de4010+fIOxIEBf37UHfyJiajZvh27Id1er4I5M9KeInM9DDdkRtdfbxilDsxgag71zw5/9o8zj7xg2iJk3G4/eNGHh5Fdj2EXK5jI6v+6HQlxG8K4LcLCUtBtSoss4AoE21NjR1bspvob+x+OJijkQeYZT/KF6v8zoG8uIT6pwtjVj+5ktMWCrn4/iP8F3/KvLB66Bmp3KwXjM02SP4BXWd4uKe01EG5GRmcGjVMi7u34O1sys9v5yFU41aWukYyfX08pU+oaVGx2SGhpLy55/YjBlTKgVlIsMT2bM4BJlcove79XH00i6DE0DkqUg/cx/3wzKSsq6jqGaGZe8aGNayKvJGk6fKY2nIUmrb1KaZczPtjT/wBdw6BD3ngrPms4ll/9zi0r1k5r3aAEtj/eIP0BJDU1N8W7XDt1U78nJyuBNygasn/+HayWOEHtqPqbUNPi3a4NeqHXbu/+6hyU31sR1Vh7gFF4hfFoL9m3XRsymkMpqBAa6//KzePB7/Fh6/b0ReTEa7TCbR9jUf9AzkXDhwl9wcJW1erYWsiDyGyo6B3IA3At6gu1d3vg/+nnnn5/HH9T+Y3HgybVzbFOvorE30WTy2E++tlPN25If4rR2MfGyQ1oq1ZUVRewTNgOaAnSRJ7z32kjlQsFawjlLlTshF/lr4EynxsQT26EuLV157SlunLBBCEDvre+SWlti8MfqZ+ws7FkXQ6itYOBjT/a0ArbVqRJ6K9OAYUg9GokzORmkBToNrY+BdtAN4xN8Rf3M39S5z2s7RfmQa9icc/REajoAGQ4tt/ojbCenM3nuVTn4OdPUve616PX19vBo0wqtBIzqMepObZ05z+cgBzu76g+A/t2Dn5oFv6/b4tGiNmbUtepaG2I7yJ27hBeKWhmAzxBe5mT4yIznoyZ54nxSOjrj+NIfbI14n6sNJuM6fV/yehCTRckBNFAZyzuy+TW62kg4jfJGXQG67MuFk6sQPbX/gRPQJZp6cydsH3qZttbbMbjO72M1kUwM9fhnZgY9X/8iXtwaSuG8eLq8tKCfLi6aoGYE+YPqwzeNDgBR0onNlSm5WFkfWreTcnj+xdHRi0LRvcfHxK7fzpx89SsaJEzh8/HGxo7+iECrBie03ObvnNtV8rXj5jToYaKCVn398nor00zGkBt1FmZyDvpsZVv1qcuLeBWrU0mx5RiVULLm0hOoW1Wnn1k67C4i/BlvfBJeG0OU7ze0Wgo+2XEIhk/FFrzrlviyi0DegVrOW1GrWkoyUZK4cP0LY4YMcXr2Mw2uW41anLn6t2lGzcTNsX69D3JKLxP5y7t8O5BIyIz1khnpIRnrIDOXIjEywGvYt6Sf+IWbm75i1b4WerREG1S0LzViWJImmvaqjMJBzYttN8nKUvDy6DnJF1XYGoK5nsKnnJlaGruSnsz+xPHQ5YwKKr8JnoCfnm6Ft2ftlU9rc3A65P4JC8+i+sqKoPYJDwCFJklYIIYrORNFRatwLv8yeBT+SFBNN/S49aDVouFZhoM+KUCqJnfU9imrVsBo0sMT9xN5O4fjWG0SGP8CvlTOtB3lrPBoUuY85gJQc9N3NservjUENS/VNVYvyCofuHuJ60nW+bvm1dnWIs9Ngw2ugp6+WF9bTXFxtY/Bdjt1I4Os+/jhaVOw/ubG5BfVf7k79l7vzIPoel48EEXb0IHvm/8i+X+dTo1FT/Dq2wc7UDXIEqqw8RGYeqqw8VJl5qLKUiMw8cpOyUeVaY+DdCWWqnKQ/bgAgtzTApJEjJo0ckZsXPFtt2NkDhYEeRzZcZeeCi3R90x89RdVfVFDIFIz2H83lhMssurCIzh6dcTMvPiNeIZeR7N0fkyuHSb7wBxaBJf8/Ky002SMwkCRpMeDxeHshRPuyMupFJDc7i2O/ryV4x1bMbe155bOvqVY7oNztSP5jO9lXr+Ly42ykEixDxUemcerPm9y+EI+vmR4B1c0wzcwlcUVo8Qc/JDcmA1VqDvoe5li94q0edZZgVC2EYMmlJbiYutDFUws1SCHgj7cg/ioM3aZVHeLYlCy+3BlGE09rrctPljVWTi60eGUIzQe8StTVcMKOHOTK8SOE/3MIN/969J0yDble0bcEVXY2t4e9Tu7tKBxn/EL2HUjZe5uU/bcx8rXBpImT2mH/Z5YQ0M4VPX0ZB1eFs39lGC+NrF2k9lFVYkrjKRyPOs6MEzNY0mmJRt/VRu16cy98OspjK6uMI/gdWAj8ClTaymRVjeyMDKKuhnEvPJTIsBBirl9FmZdH3U5daD3kdfSNykaZsihUWVnE/fwzhv7+mHXWTiwrMTqd0ztucf1MLM7Gcro4GqKXpURhqIfI0e5ro+9qimlLFwy8LJ5pWeVkzEkuxV/i06afoifT5Kv+kONz4fI26DgdvLQrOPPZH6Fk56mY2de/0m6OSpKESy1fXGr50m7EG1zYu4eDKxaxf+l8Oo15u8j3XGZggOvPP3KrX3/ifpyM59YtKNME6aeiyThzn8zQBOTWhpg0dsQk0AG56b+DCb8WzmSl5XJ86w3MbQxp1qdGoeepStgb2zOxwUS+PPklO27uoEf1HsUeU8PRgk2mneiTuBGREoVkXrHZ2Jr8d+QJISrHjkYVJiMl+eFNP5R74aHE3rqJECpkcjkOnjWo36UnNQKblutewH9JXLWKvJgYnL/7VuMbcFJsBsE7I7h6KgYTfTmdqpthnJCFnpk+lkNrYFjdsmyNLoJfL/6KnZEdvWr00vygW0dg7+fg2wNaaFdgaE9INHtCY5jUuRZedtpVu6oo5HoKGnTpQUZyEie3bsDK2ZVGPfoWeYzCwQGX777lzshRxM+bj/3772HZ1QuLlzzIDIkn7WQMKXsiSNl7G6PaD2cJD516/ZfcSEnI4uxfdzCzMaJO68LlLqoSA2oNYPvN7cw6PYuWLi2xMiw+Z8So0WvIg9YTefg3XLtPKXsji0ATR/CnJEnjga1A9qMnhRCJZWbVc0BKfFz+aD8yLJTEe3cBdTF0p5q1aNJ3IK6+tXGu6VOuewCFkffgAQmLFmParh0mjRsX2z4lIZPgXRGEH49BLpdo6W+Dzf10RHI25p3cMWvjivQM2cLPyoW4C5yMOckHgR9oFOsNQPI92PQ62FSHXvNBi9lIcmYun/4Rip+TOW+0KjrWvjLS4pUhPIi+x+E1y7FydKZGo6ZFtjdp3hyLvn1JWLYM8y6dMfTzQ9KTYVzPHuN69uTGZpB+Mpr0s7FkXoxHz9YIk8aOGDd0oPXAmqQ9yOLwuiuYWhng4V8yDaXKhEyS8Xmzzxn450Bmn5nNFy2Kz1dp06wZZw9643JpHXSbrNX3rbTRSGvo4c8PH3tOAFXv214ORIaFcHDFEmIj1Jtp+kbGuPj44de6Pa6+dXDwqoGeouwliLUlYeFCVBkZ2L//XpHt0h5kc2ZPBJePRoEEDRvZ45aSjfJOCvo1LLHsXQNFJShl+OvFX7EwsGCA9wDNDsjLht+HQ24mjNgJhpqVnXzEzF1hJKbnsHxEIxRVMERSksnoPH4iKXH32fnLLAZN/+6phMX/4jB5EmmHDxM99VM8Nm5Aemx/QWFvjGWP6lh09iDjUjzpJ2NI3nWL5D23UDiY0MzFFJM4Y44uDcX43frYu2v3fldGvK28GV57OEtDltKzek8aOTYqsr2pgR43nHvRIHoWmRGnMfIsfgBWVhTrCIQQJVJzkyRpGdAdiBVCPJU1IanXHn4CugIZwAghRMm0XysB6UkPOLx6GZePHMTM1o62w97A1a8Odu4eT2V3VjZy7t4lce06LPv1w6BGweu2GSk5nP3rNiGH7iFUAr+mjvgay8k5cx9hosB6UC2M6tpVigzSK4lXCIoMYny98RrVIgZgz0cQeRoGrAS7Wlqd79iNeNafvsvYNl7UcdE+Ua6yoDAwpPekz1jz8Xts+24Gr371Q5GKp3ILCxynTuXexIkkrliBzeinc04khRyTBg6YNHAgNyadjItx5NxJJetSPDWzldQ0lJE+/wIxXuYYeVmi72aGvqtZsbWWKyvj6o7jr4i/mHF8Bpt6bip2Nlq93WtkrZnDvaCl1KjMjkCSJGPgPcBNCDFGkqSaQC0hxI5iDl0BzAV+K+T1LkDNh48mwIKHP6sUKqWS83/v4p8Nq1Dm5tCkz0Ca9BmAwqDil3s0Je7HOUh6ethOKFhY7G54In8tDiEnM49azZyoV9OCnKC75CTnYNLEEYuXPZBpkR9Q1iwNWYqxnjGv+ryq2QHn10LwUmj+DtTurdW5MnOUfLTlEh42xrzbsXT0mCoSE0sr+kz+jHWfTWLbd18waNq3RS5dmr38EqYdOxD3y1zMOnZE38Oj0LYKRxMsHNUSZkIlyIvLIPFiPHf+vo11RCp5ESn5KmZ6tkboVzNTOwY3cxTOJpVikFEchnqGfNr0U8buG8uvl37lrXpvFdm+fk139iua0fTODvWsVIsw5dJEkznsciAHdZYxQCTwZXEHCSEOA0XtI/QCfhNqTgCWkiSVsG5gxXDvShirP5rIwRWLcKpZi2Gz5tFy0NAq5QQyL10iZdcubF4fgcLhae2fS0GR/PnzBUwsDRj4bn3qChWZf9xAZqSH3Zt1sepTs1I5gTspd/gr4i8G+gzUrBB59AXY8S54tIIOn2t9vjn7rnI7IYOZfQMwfA5i4wHs3D3p/r9JxEXcYtfcH56oYfxfJEnC8dPPkPT1if7sc42LQ0kyCYWDCQ6d3HEbVYeDKbmctTXBemQdzDt7oGdvTNa1ByT9cYPYX86RuDYcVXbJKoeVN81dmtPVsyu/XvqVm8lFl2+RJIlMv0GYijTun95aThYWYEdxH5wkScFCiEBJks4JIeo/fO6CEKJusZ1Lkgewo5CloR3AN0KIow//3g9MFkIEF9B2DDAGwMHBoeH69etJS0vDtIiCGWVJbkY6904eISE8BIWJGdVatMPSq2a5jlhK5fqFwGr2j+jFRBP/xReIx0Z+QiWIPitIug5ODhKezjKs76ivL7GGIMldaFjfrvQp6trXJqzldNppprtOx1xe9LqzXm4qDc+8jyTyONNwNrn6llrZEZGsZPrxLFq76vF6nfIbyZXXd//+hTNEHjuIQ/3GuDZtXWRboyNHMV+zhpQhQ8hspZme1eMk3RLcOymw8ACXJpL6f0mAXhaYRUlYX5PINYEbtdJQ2Jd/aLW2pCpT+TLqS5wVzrzt8HaRyYxJmbk0OTGGeEMPEpoVPRh5ls++Xbt2Z4QQgQW9pslmcY4kSUY8nLRJklSdx6KHnoGC7poFeiUhxGJgMUBgYKBo27YtQUFBtG3bthTM0ByVSsnFfX9xdNNv5GZl0ahXf5r2HYi+YflvjpbG9acGBRF57RoOn31K7Yd5A0KpIu16EqG/X6PWgyzsrOXIsgXcAkNfayx7VsfNqmJnPIVde0x6DKe3nKZfrX70bNqz6E6EgLWvQE4ijNxDC9cC/z8KJVep4tu5/2BnJvh5VBssjMpvVlRe333Rpg37TQy5sHc39Zo0o067wtUyRZs23Ll2Ddn27TQYM6bA2WWRtIXT9rc49ectvGu707jHk7EoWTeSSFwXTq0Lpti+4otxXbsSXFH5knstl8+PfU6SaxJ9axYdkrsz/GVeTt4A9bzRsyw8p6CsPntNHMHnwB6gmiRJa4AWwIhSOHck8HjqpStaiQeUL9HXrrBv6Xxib93ArU4A7V9/ExvXypU5qg0iL4/Y779H38MT4yadSTl4l+ybSWRHpECuCldAZWWAWR1bDDwtMPCyQG5W9oJ3z8LK0JUg0KwofegWuPY3dP4WtHQCAIsP3yQsOoWFrzUsVydQnkiSRLsRY0m6H8PeJXOxsHcoNNtdkiScvpjBzZ69iPliBq6//KL1DDmwqwcp8Zmc3hmBmY0Rvs3/XSk2rG6Jwzv1uTn/JInrwsm5k4JFV0+kShyh1adGH7bf2M4PwT/QxrUNNkaFFwIybzYMvT3ruHZwBTX7fFyOVqop9l0UQuwF+qK++a8DAoUQQaVw7u3AMElNUyBZCBFdCv2WKhkpyfy96GfWTn2fjKQHdJ84mf5Tv6qSTkCoBMqUbLJvJhM3fy9y+x4YNJhC/JJQUv6KICs2k9tZSi4oQTbEF7epTbHqXQPjunaV3gkkZiWy6eomunp1Lb5oSE4G/P0ZOPpDY+2rld2IS+On/dfoUseRznXKXlm0IpHr6dF94mQsHZ3ZPnsmD6LvFdpW390du7cnkLZvP6l//f3Ea5lpqVw+fIATWzaQk5lR4PGSpJavdvWxImh1OHfDntxilJsbcK+xCtMWzqT9E0Xc4ksoU0pjcaJskCSJz5p9RkZeBrOCZxXZtmmjplzAG+PLG/ILRpUnmkQN9QEOCCF2PvzbUpKk3kKIbcUctw5oC9hKkhSJemahABBCLAR2oQ4dvY46fPT1kl9G2RB9/Qpbv5lOdkY6gT360qzfoAqRftAUoRKoUnPIe5CFMilb/fPBkz9RPvqSmSK3tMekiTMGXhZcj0zn6PabWDub0nW8P+aF6NNXVlZfXk22MptR/qOKb3zsF0iJhL6LQcvQXpVK8NHmSxjqyZjeq3YJra1aGJqY0mfy56z95D22fjudwV/+gJFpwaq01iNGkLJrNzFffonKuwa3rl7m+unj3L0ckr/pfPPMKfp8NK3APuRyGZ3H+rP1+zPsWXSJvh82xMblsTVxGVj2qI6+mzkPNl/l/s/nsB7sU6EZ7EXhZeHFaP/RLLywkJ7VexZa6lIhl3HPoy91I77hwY3TWNUo31BSTeZVnwshkh/9IYRIQn1TLxIhxGAhhJMQQiGEcBVCLBVCLHzoBHgYLfSWEKK6EMK/oE3iiiQyPJRNX05F39iYod/8RJvXRlY6J5CXkMmDrdeI+/USMbNOc+/Tf4ieeYq4hRdJXH+FlL9uk3k5AVWWEoWTCaYtXLDsVR2F/W3Sdr2HzRA3zLt5cfJ8PEf+uIlHgC19P2xQ5ZxAcnYy68LX0dG9I14WxeQ5Jkeq6wv49QYP7QvtrTl1h1MRiUzt5oe9WdWJDntWLB0c6fXBVFLiYvnzh69R5uU+1UYIQUJUJPdeassha0OWfvQ/DixfRNqDBzTq2Y9Xv/qBnh98QmzEDTZO/4j0pAcFnsvASI9ub9VFYSBXV7RLenrUb1zXDvu36iEz0iN+6SVSD0VqHLFU3oz2H42HuQdfHP+CzLzMQtv5dBhKtlBwL+jXcrROjSZ7BAU5Cy0UvKoed0IusPW7GZjZ2DHg0y+LTKqpKOTZELc0BFVqDgpHExQuphjVsUVuZYjcygA9K0PklgbI9J8c8eYlJnJvwhxMWjdFquXP9p/OE3UtiYad3WnS06vKKULmqnL54NAHZCmzGBswtvgD9n4OCOg0Q+tz/R0aw/TtobSqacuAQM0VSZ8XXHz8eGnc/9g99wf2/Tqfl8a+gxAqoq9e4XrwCa6fOk7SffXqrq2tHbWu3aL+lI9x6fakCFufKdP4Y9aXrP9sEv2nfomFvcNT5zKzNqTbhLps/f4sO+ZdoOc79TD6z/KkwsEE+wn1eLDpGsm7b5F9JwXrAd7IDCvX7clAbsBnzT5j5F8jWXRhERMbTiywnVc1V44YNqfuvV2I3CykcqxToMk7FixJ0mxgHuqonreBM2VqVQVy61ww23/4GktHJ/pP/RITS+0Ljpc1quw8nM7IUGXmYDcmAP1qmhePiZ83H1VWFophE9j0TTDpSTl0fN2PWk2q3lq3EIJvTn7DiegTfNHiC2pZF5MRfPs4hGyC1pPAyl2rc+29fJ+31p6ljosF84Y0qBLJTWWBX6t2PIiK5MSWDaQmxBN3+xYZyUnI5Hq41QkgsEdfqgc2wdjImFu9epM55xdU7TsiM/p3lunuX4/+U79gyzfTWD9tMv0/+QIbl6f33OyqmfHymDrsmneR3z45Rp3WLuSaPDnqlxnoYf2qD2n/RJG86xaxc89j85ovioeJa5WFRo6N6F2jNytDV9LVqyveVgUnH6rqDsb81CFuHt+CV2sNEyJLAU2Wht5GnVC2AbUkdRZQdLpcFeXa6eNsm/Ul1q7VGPDZ15XSCYg8FQmrwzBIBeshvlo5gZyICB5s2EBmjzFsX3ufvBwVvd+vXyWdAMDa8LVsvLqRkXVG0rtG76Ibq1SwZzKYOUPLiVqdZ9/l+4xfcwY/Zwt+G9UYc8PnM0pIU5oPGIJvy7ZEXwunmp8/3d75kPG/rqHfxzOo26kLplbWyAwNcfryC3Lv3iXu51+e6sPZ25dXPpuJKi+PDZ9P5v7N6wWey722DYM+a0z1+vZcOBDJtT8Fh9dfJe1BVn4bSZIwa+mC3Rh/VNlKYuedJ+NcbJldf0l5v+H7mOmbMf34dFSi4CS9hu36cl9YkX16VbnapknUULoQYooQIlAI0VAI8ZEQIr08jCtPwo8d5s/ZM3Hwqs6AT7/C2LzyacYIleDB5mtkX0sitrbAyEezco2PiP1xDvH29TmRXAcLOyP6TwnE0bPyXacmHI48zHenv6N9tfb8r4EGctHn16iziDvNAH3NR4v7w+7z5poz+DmZ89tInRMAtUBdlwnvM2HZBrpPnIxPizYYGD/9nho3aoTlwIEkrlxJ5qVLT71u7+HFoOnfomdgwMYZHxMZXnDxIitHEzq+7seQ6U2w8IDQw/dYNfU4B9eEkxL/75q7gYcFDu/UR+FqRuKGKyRuvIIyNafUrvtZsTS05MNGH3Ix7iK/X/m9wDamRgaE2HWlZsoJMhLLL5q+WEcgSZK3JEmLJUn6W5KkA48e5WFceRF6aD+7fv4el1p+9P/kCwxNKqeWfPJfEWSci8X8JXdSXbXbGMs8f557x8IJrTUMO3dz+n7QEDPrqrnZGZUTxaTDk6hlVYuZrWYWX4IyKwX2T4dqTcBf83LbB8NjeXP1WXydzPltVJPnNl+gJEiSVGwBewD7D95Hz9aW6KmfInKf3mC2cnJh0PRvMbG0YvNXnxFxvvBVZws7Y1wayxjyRVP8WjgTfjya1Z+dYP/KyyTdV4ekys30sRvtj1n7amRciCPm+2BSj9xDKAuXyShPunt1p4lTE+acnUNcRlyBbexbvo6epOLqvmXlZpcmS0O/A+eAqailqB89ngsu7N3Nnvk/4uZfl74fTat0kUGPSP3nHmmHIjFp6oRZO+1yGIQQ3Pp+ERfqjsfE2ohu4wNQGFRNXZyEzAQWxS7CRM+EX9r/opm66OFZkB4Hnb/RWPP94JVYxq46g7ejKatG6pxASZGbmeE47XOyr1whYenSAtuY29ozcNo3WDk5s/W7L7h68p8i+zS3MaLNq7UY+kVz/Nu4cC04lrXTTvD30lASo9KR5BIWL3ngMLEBBh7mJO+8yf2fzpF1veAopfJEkiQ+bfopWXlZ/Hqp4OigOnUDuSzzxvrq7+WWU6CJI8gTQiwQQpwSQpx59Chzy8qBMzv/YN+v8/Bq0IjeH35aacXiMi7GkbzjJoa1bbDsWV3rjcqEPQc4KWuFZGhM97frYVxIkfHKTrYym/8d/B+pqlR+7vAzDiZPR5s8RcINOLEA6r0GLg00Ok/QQydQ08GU1aOaYFGJRPWqImbt22PWpTPx8+aTfbNgETYTSyte+XwmjtVrsuPHbwkJ2ldsv6ZWBrQa6M3QL5tRt6Mbty7Gs+6Lk+xZfIn4yFQUdsbYjKiNzTA/RJ6K+F9DSFh9WZ1PU4G4m7vTq0YvNl3dxP30+0+9LkkScdX745YXQWTYiXKxSRNH8KckSeMlSXKSJMn60aPMLStjTm7dSNBvS6jZpDk93/8YvRIUai8Psm4kkbjhCvpu5tgMqqV1eGduZg5/b4gk08iWrhPqY1XJoik0RQjBZ/98xoW4CwyzGUZtGw2Tuf6eqpb27fCZRs0PX41jzKoz1LAzZc3oJlgaV87vRVXD8ZNPkIyNC10iAnXiWv9PvsDNvy5/LZjD2V1/aNS3iYUBLfrVYNhXzWj4sjt3Liey4cvT7F0eSnZ6HkZ+Nji+2xDzl9zJuvKAmB/OkLLvNiK34kqwj/YfjUqoWBZS8PKPX6fhZAsFMYfLZ3lIE0cwHPVS0DHUYaNngEqV/KUNQgj+2biao+t/w7dlW7r/bzJyvco54suNSSdh1WX0bAyxHe6HpKXMsVAJ/pq5jweG1WjZTI6LT+FaJ5WdRRcXsevWLv7X4H/UM6mn2UHX98OVXdD6QzArfvZw5Focb/wWTHWdEyh19GxtcfzkYzLPnuXu2LEoU1MLbKcwVBfHqdGoGQdXLuH4pnUaJ4oZmerTtHd1hn3VnIad3bl+Opa1009w42wskkKGeXs3HN4PxMjPmpR9d4iZfYbMkPgKSURzNXMtclZgZ+/IBdMW1IjZTV5O2c9gNIka8izgUSXLVAohOLxmOSc2r6dOu5fo/Na7yOSVc608LymLuGUhyPTl2I6sUyLN/+Obwrkda4hP9mn8h7cvAyvLhz0Re5h3fh49q/dkVB0NJCQAlLnw18dg5QlN3yy2+dFr8YxeGYynrQlrRjfBykTnBEobi549cfr6a9JPneb2q6+Se69g3SI9hYIe707Br3V7jv2+hkOrlmp1szY0UdC0d3UGfByIiaUBexaHsGdxCBkpOehZGmDzqi+2b/gj6ctJWB1G/LIQcmML1j8qSx7NCpaGFLx3Im8wBEtSuXy44Aij0qRQRyBJUvuHP/sW9Chzy0oZoVJxYPlCgv/cQr2Xu/HSmAmVtoSkKiOX+GUhiBwltiProGep/d5F6JF7nDsQjXPUEZq981KVTYC6FHeJqUen0sC+AZ83+1zz6wheBnHh8PJXxVZ9+ud6PKNWnsbT1oS1bzTFWucEygzLvn1w+3UJufdjuTVwUIFhpQAyuZzOb06k3svdObNzG1tmfk5qQrxW57J1NaP/lECa9PTi1sU41s04ybXT9xFC5KuZWnT3IuduKvfnnCVp501UWeVX/Ka4WUFA6z7EYYXq7Noyt6WoGUGbhz97FPDoXsZ2lTqXDu7l/F87CezRl/avj9Mo9E1ThFJFbmwGmaEJpATdJfH3qyTtuEnGhTjyHmRpNZoRuUriV14mLyELm6F+JcqQvB2SwKF1V7BJCqOhRxLG9etr3UdlIDotmrcPvI2tkS1z2s1BX67hDTo9AQ5+BV5toVbXIpseu6F2Ah426pmAzgmUPSZNm+Kxbi0yQ0NuDx1Gyt69BbaTZDLavz6WDiPfJDI8lJUfvEV8eIhW/09yuYzArh688nEjzG0M+XtpKLsXXiI9ORtJLsOspQuOHwRi3MCetCP3iJkVTOrRe4i88gk3fSPgDYQQBc4KFAoF1526UTv9JAn3I8vUjkIlJoQQnz/8WelUQUtC7TYdUBga4tO8dYlHx6qMXHLjMsmLyyAvLvPf3xOyQPXvl1NmqkCVpYSj6qmvzEyBfjVzdf3Vauri3LICwjeFSpCw7go5d1JKrKgYdyeVPUtCMJelUfvyMhy/2Vyia61o0nPTmXBgAtnKbJa+vBQrQy2yvIO+huw0eHlmkeGix28kMHLFadysjVnzRhNsTCumXuyLiEH16nhsWE/k+Le4987/yP3wQ6xfH/HU/6YkSdR7uRvudevz14I53D64h20piXR6YwKmVprHrNg4m9JvUkPO77/Lqe23WDf9JC1fqUmtJo7ITfWx7u+NaRMnknffInnHTdKO3sO8ozvGDezLVH/LxdQlf1Ywqs6opyLhnNuMRLF+NVf3LafZkE/LzI7Kpc5Uhsj19PBt0ab4hqi1fHJjMsiNSiM3Op3chzd+Vdpj0Q5yCT1bIxT2xhjVsUXPzgiFnTF6dkbIDPXUs4TodHLuppJzJ5Wcu6lkXU5QHyupBbPUhbnVzkHPzpik7TfIupyAZQ8vjAO0r8CUmpjFjnkXMNCHOvu+wW5AnyKLiVdWlColUw5P4UbSDeZ1mEd1y+qaH3w/VL0s1Gg0OPgV2iw4IpGRK05TzcqYtW80xVbnBModPRsb3FauIGrKR8R+9x05d27jOHUqkt7TtyUrR2de+Xwmv//yI3dOH2PlB2/RfuQ4rQZ2MrmMBi+54xlgy4Hfwtm/IozrwbG0HVILUytD9KuZYfuGP9nXkkj+K4IHm66SevguFi95YFjbpsyWV98IeIM/rv/B0pClfNzkyaI07j4Nuarnjf2NzQgxtUzODy+QIygIIQTK5Bxyo9PIjUonNyad3Kg09Qj/IZKRHgoHY4x8bdCzM8q/4cutDJHkhX8xJLkMfVf16J9m6ueU6bnkRD50DHdSyLgYT/qpGHV7fRkiR4VZG1dMW7hofS3ZmXnsmHuBvGwlLfL+Qi7LwXZ88ZuklZEfz/xIUGQQnzT5hBYuWkhFCwG7J4OhBbT9qNBmlyKTeX35aRwtDFnzRhOdE6hAZIaGuMz+gbhq1UhYsoTce1G4/DgbeQF1eWUyOQ51A+k0YBB75v3Irp9nce3kP3Qc/ZZWkjBWjib0+aABlw5GcmLbDdZNP0mLATXxbe6EJEkYelthUNOSzJB4Uv6+TcLqMBSupli87IFhzdLXHytuVpBS6xUCQ78k/HzRiXbPwgvjCESeity4zH9H+dHqn6qMfzeH9GwMUTiZYNzAAYWzCQonU+QW+qU2EpCbKDCqZY1RLfWUVqgEefGZD2cMKcgtDTFrq728sTJPxZ5Fl0iKyaBTF2NyP9yKzcT/oWdTtcJFY9JjWHxxMb9f/Z1XfV5lkM8g7ToI3wERR6Dr92Bc8LLBlZhUhi47ibmRgjWjm7xQNQUqK5JMhv3776Fwq0bMtOncfnUI1RYtROHkVGB7a2dXBs34juAdWzm2cTUrwkLpOHo83k00HzTIZBJ1O1TDI8CGA7+Fc3BVONeD79P2NR/MbYyQJAljfzuM/GzJOHuflH13iF8agkF1Cyw6e2ol9qgJRc0KanUcTk7INyT8swLqvFaq532EJhXKBgB7hBCpkiRNBRoAXwohzpaJRWVExoU4Hvx+Vf2HngyFo3pJR+Fkkv+QGZSvX5RkEgp7YxT2xpgEapAlWwBCCIJWhxMZ/oD2w3zQ+/l9hL091sOHl7K1ZUdMegy/XvqVLde2IBAM9hnMh420VDHJzVInj9n5QsOCt7Vuxafz2tKT6MtlrBndBGfLqlWA53nHasAAFM7O3PvfRCJeGYjrggUY1Sk4cVAml9O4V3+86geye/6P/Dl7Jj4t2tB+5LhCq6cVhIWdMb3frU/I4Xsc23qD9V+couVjswNJLmHSyBHjevaknYwm9eAdYuedx7C2DRYvuaNwKJ0EzcdnBSPrjMTR5F9FYDMrey5YtMI3bg/BOa+Uyvn+iyahM58+dAItgZeBlcCCMrGmDDGoYYn1oFo4vNcQl+nNcZhQH6u+NTFt5oyBh0W5O4HS4vSOW4SfiKFRd09c0kLIPH8eu3fefkL/vbISkx7Dlye+pOuWrmy+tpneNXqzs89OPm7yMXoyLT+PE/PhQQR0+QbkTx8b+SCDIUtOkKdUsWZ0Ezxsq2aG9fOOaYsWeKxbi6RQcHvoUFIPFK1vaevmwatf/kDzAUO4euIoK98fz40zp7Q6pyST8G/ryuBPG2PvZsbBVeHsmn+R9OR/K6NJiocRRpMaYd7RjezrSdyfc5bEjVfISyydhK/8CKJLT0cQGTYairWUSvKt06Vyrv+iiSN4lIfdDVgghPgDqHIxdnoWBhjXs0dhb1zk2n5VIuRQJKd3RuDTzJHAl1yI+2E2BjVrYNG7d0WbViSFOYDPmn1WfOH5/6LMg5DNcPh78OmuDhn9D7EpWbz260lSs/NYNaoJNR1Kd1qvo3QxqFkTjw3rMahRg8i3JpD4229FhozK9fRo1n8wQ77+EWNzC7Z9N4M98+eQmVZw9nJhmNsa0WtifVoOqMnd8Aesn3GK62eerGsgM9DDvKM7jpMaYdrShYyLccTMDib1SCRC9WwZyo9mBZuvbSYmPeaJ17yb9yRRZo1txo1nOkdhaDLsuidJ0iKgI/CtJEkGaOZAdJQhCVcFoWev4u5vQ9shPiRtXE/O7du4LlxQYNRFZeC/S0B9avRhtP9o7W/+oA4PPbcaTsyDpDtgUxNe/vqpZonpOby29CSxqdmsGtWYOi5Vs/7Ci4aenR3uv60katIk7n89k4yz53D8rOjwSXsPL4bM/JHjm9Zz6o/fuXL8CLWat6Jep6441ii4Ith/kR7uHbjVtmbf8sv8tSSEm+cdaD3IG0OTf7P75SYKLLt5YdrChaQ/rpO88xaZlxOw7u+N3jPU/M7fK7i0lE+afvKvXXIFVpPOI504V+K+i0KTO8YrQGfgeyFEkiRJTjxHMtRVkXN77xBzVuBVz46XRteGrEzi587DuFEjTNtoFiJbnpSqA0i9j+fNVXBiOGQlQbWmanlp7y7wnyTBlKxchi07SURCBitGNKKhe5XXSnyhkBkZ4fLTTyQsXkLcvHlknDqFQb9+0LZtocfI9RS0HDQUn+atOLdnB2FHgwgN2oeDVw3qduqKT4vWGqkMWzma0G9SQ87suU3wzgiirj6g3VBf3Os8GYChZ2mAzTA/Ms7EkvTnDe7/dBaLbl6YNHYsUZCJi6kLvWv2ZvO1zYzyH/XEXoFkWHaDGKkiBJeehcDAQBEcHExQUBBti/hCPK+c2RPBiW03Ma8Gr05pi1wuI+7nn4mfvwCPjRswCgioaBPzic2IZfHFxWy+pk5qeyYHEHcFjv0CFzcglLlIvt2h+TtQrXGBzTNy8hi69BQXI5NYNLQh7X1KthlfGXkRv/tZV68S/dHHZIWGYta5M46fTtUoKi47I53LRw5y4e9dJETewcDYBL827anbsSs2rprV9Yi7k8q+FZdJjErHr5UzLfrVQN/w6TF0XlIWD36/SvaNZAxrWWHVryZyc+1Dk6PSoui2pRv9vfs/MSuAZ/vsJUk6I4QILOi1QmcEkiTdQl2sPk4I0aREZ9ZRagghOL0zgtM7blGzkQMKz1jkchm592NJWL4C865dKpUTCE8MZ9zecSTnJJfcAQgBt4+pHcDV3aBnCPWHckoWSJOuhRf2zspV8sZvwZy784C5rzZ4rpzAi4qhtzceG9ZzeupUpJ27uHnyJI6ffYp5ly5FHmdgbEL9l7tT76Vu3AsP5cLe3Vz4ezfndv9JNT9/Ajp1oWbjZkUqENu5mTHgo0BObb/FuX13iAxLpMNwP5xrWj7RTs/SENtR/qQfjyJ5TwQxP57Fqld1jOraaTU7cDZ1LnRWUFYUutb/SGVU5wQqHiEEJ7ff5PSOW/g0daTj6375ae/xc+ci8vKwmzixYo18jFPRpxixZwQKuYJNPTZpvwmsUkLoVljSHlZ0hchT6gSxd0Oh+2wyjQvvK1ep4q01Z/nnegKz+telq3/Bseg6qh6Snh4ZnTvjsXnT/9s77/Aqqu1hvysnhfSEVJJAAgIBIfTepFgAFRGxoVgQFEHEdr02VNDvqteOip1ig/sTFAtYUIoCgvQO0kJISCG917O/P2YCIaScQE5CyH6fZ57ZM7Nnz1qn7DW7rYVTaChxDz9C7PSHKE5Jqf5eEcLad+TqB//Ffe/PZ8Ctd5JxMollb/+Xj6bczdpFn5F5svKA945OFvrd0JrrHzGCG337xlbWLTlEcbmYBuIgePQPJfDBrjj5u5K66ACpX+2nJKfiGAyVMSmq8hlE9sCWmMUiIreLyLPmcQsRqbg9rql1lFL89c1htvx0jEv7N2PoHe1xMI1A/oEDpC9Zgu+tt+DcokU9S2rwS/QvTP5tMs3cm/H5iM9r5h4CYM9SmN0Vvr7LGAO4+g14aDcMfgLc/au8tcSqeOh/2/l9fxIvjO7IDd1rvjhPc+HTpG1bIhYtJOCRR8heuZIj11xL5k8/2eyMzs3bh96jb2Ti7I8Z88TzBLduy99LF/PJtIl8+8pMDv69npLiir2QhrTx4eZnetFhQAjbV8Tw9UubSTyaedaznQLcCJjcGa+rIsjbm0Lim1vI21u9wTr1nDKtgvIziOyBLYPFcwArMBSYBWQBS4CedpRLg2EE1n59kJ0rY+l4WSiDbm57qiXgkJzM8eeex+Lri//9F4YriYX7F/LSxpfoEtiFd4a+g7dLDQa3cpJh+WNGSyC4E9z8heE51EZX4Var4t9LdrJsZzxPjWzH+D7h56iFpiEgjo743zsJz6FDOPHkU8Q9/AieP/1M8LMzcPSv+oXhVBkODrTs2oOWXXuQeTKJnb//wu7VKziydRNu3j60HziEqCFXnjWW4NzEkcG3taNllwBWfbaPxa9sxs3LmaCWXgS38ia4lRcBLbxwcrHgNaQ5TSJ9Sfu/f0j5bC9u3YPwubYVDhWMMZRnUtQklh5cyie7PuGZPvbzMwS2GYLeSqluIrINQCmVJiINbh1BQ0NZFX8s+ofdf8TRaWgYA25sc6qfsSgxCd+33sZaVET4Zwtw9K19/yc1klUp3t3+Lh/t/IjBzQfz6qBXaeJYA9cNe7+DHx+BgkwjpGS/6RUuCqvq+TN/2MPiLbFMH9aGewfVsBWiabC4tG5NxMKvSJk3j+TZ73Dk778JmvEMXiNH1qhf3isgkAG3jKffjeOI3rGVXSt/ZdtP37Plx29p1rYdHQdfQbt+A3F2dTt1T3gHP255tjcHNyWSeDSThCMZHN1hxEwQB8E/zMMwDi29CLypLS47T5K9JpaCw+n4jm1Lk9Y+VcpU2ir45uA3TIyaaNexAlv+bUUiYsEYOEZEAjBaCBo7oayK1V/uZ++6eLpe0YK+Y04HrC9OTSVmwgQcsrJo8flnNImMrFdZi63FvLjhRZYcXMKYNmOY0WeG7auCc1Jg+aNGK6BZFxj9fpUeQyvCalXM+nEvC/46xqSBLXno8jY1V0LToBFHR/wnTcJzyBBOPPU0Jx59jKyffyHomadxCqrZRAEHi4VW3XrSqltPctLT2PvnKnav/JUVH73D6gUf07bvAKKGXElIZHvDQZ27E1GDw4gabNyfl114yigkHs3kwMYEdq8x3NE3cXeiZagbrbIKSf5kF57DWuB1eYsqDVZdtQps+cfOBr4FAkXk/wFjAfs5xm7kWK2KVZ/tY/+GBLqPCKf3qFanfiglmZnETJxIUWws6VOn1PssofzifB7/43FWHV/FpKhJTOs6zfa3sNJWQH4GDJ0B/R+qUSsAjM/q6aW7WPj3ce4Z0JKnRrZvsJHYNOePS+vWRHz1Janz53Ny9jtkrV6N98gRNL3zTppcWrMXDAB3H196XjuGHtdcT/zB/exauYIDf/3JntW/4RsSRsfBl9PhsmG4+5xukbt6OBMR5U9ElNE9ZbUq0uJzThmGhKOZ/BOfR2c3C81/j6EwKRf/m9pWGo+8fKvAXlT7z1NKfSkiW4BhgACjlVL77CZRI8ZaYuW3+fs4uCmRXte2pOfVLU9fy83l+H2TKTh4iOZz3iOhpKSKkuxPRkEGD658kG1J23iy15OMa1/5dM4zyEmBn/5luIVo1gXu/KHGrQCA4hIrjy/eyTfb4nhgSGsevbKtNgIaxNERv4kT8Rw+nNQFn5G+ZAkZ332PW69eNL3rLjwGX1bj6IQiQkjb9oS0bc+Quybxz19r2bVqBX9+NZ+1iz6jZZfuRHTpTnhUF3ybhZ7xO3RwEPxCPfAL9aDDQMO9fEFuEXv+iGPvz9FcuiuZhOQ8Aid0xOJZcY/7pKhJLD1ktAoGMODcP5wqsMX76OdKqfHA/grOVXfvcOBtwAJ8opR6udz1wcB3wFHz1DdKqVk2S38RUVJiZcWnezm8NYk+o1vRfXjEqWvWggKOT51K3o4dhL75Jh4DB8Lq1fUma2JOIpN/m8yxzGP897L/MjxiuG037vsBfnwY8tJhyDMw4CGwVD5/uzKKrYrpi7azbFc8j17RlmnDdHeQ5kycw8IIfvopAqY9QPrXi0n94gtip0zBOTwc3zvvwGf0aBzc3KovqHy5TVzpOOQKOg65gtQTsexeZbQSjmw1nMF5+PkT3rEL4VGdaRHV5YzWQikubk50Gx5BdKgHW+btocuJHOLf3krghI44h5wdhyHEI4TrW1/PNwe/oUOzir2xni+2tMXPeLI5XtC9upvMfO8BVwCxwCYR+V4ptbdc1j+VUg0uBnJtYbUqjmw7ydZfjnEyJov+Y1vT5fLTU0FVURFxDz1M7l8baPbyS3hddWU9SgtHMo4wecVkMgszef/y9+ndzIZlJrmpxoyg3UuMGUHjl0Jwx3N6fkFxCe9tL2BbUjxPj2zPpEGtzqkcTePA4uWF3z0TaHrHeLJWrCBl/gISZ73Aybdn43vTTfjefluNxxFKaRoSxqDb7mbguLvISEzg2K7txOzazuEtG9mz5jcA/JuH0yKqC+FRXQhr3+GMweaIKH88H+vOH+/toGNmIYnvbcd/XHtcO5y9Ynpi1ES+PfQtv2X+xvVcf24fRhVUtbL4SeApwFVEMjG6hQAKgY9sKLsXcEgpdcQsbxFwHVDeEDRKiotK2P9XAttXxJBxMg/vAFeuuOdS2vY8PTNAlZRw4t9PkL1qFUHPzsCnnr2K7jy5k6m/T8VBHJh71Vwu9bOhS+eMVsDTMODhc2oFAOQVlnDfF1vYllTCC9d1YHzfiHMqR9P4ECcnvEaOxHPECPK2bSd1/nxSPv2UlHnz8BphjCNUFvug2rJF8Aluhk9wMzpfMQJltZIUfcQwDLt3sHPFT2xd/h0OFgvBrSMJj+pMeFRXQtq2wy/Eg+FP9uT3OTsJT8qBz/fiPTwCz8vCzuhiCvEI4ZWBr5B/uHZcXp+lQ3WLMETkJaVU5XH/Kr9vLDBcKTXRPB6PMRX1gTJ5BmOsSYgFTgCPKaX2VFDWvcC9AEFBQd0XLVpEdnY2HhWEs7vQKSlUpB40vIeWFIBrU/BvL3iGcmaQbKXw/OJL3NatI+v668kt1xKoa/335O1h7sm5eFm8mBI4hQCnqmMqu+Qnccnh+QSeXEeWR0v2t3uIHI+Ic35+frHira35HEi1Mq614orWDe+7ry0a6m+/NqhN3R2Sk3FbuQrX9etxyM+nsE0bcq64nMKoKKjF8SZrcTHZCSfIij1GZtwxcpOMBWIuXj74X9oJ/3YdcXB2JXGzolWihVBnBzKaWTkZpc5a8ns++g8ZMqRSX0M2OZ0TEV+gDXBqcrhS6o9q7rkRuKqcIeillJpWJo8XYFVKZYvISOBtpVSVHb4N1elcdloBO36PYc+fJygqKKHFpU3pelU4oW19zhrkVEqR9PLLpC74DL/7JxM4ffpZ5dWV/kop5u6ey+xts4n0jWTO5XPwd61iwU5hDqx729gQGPjoOY8FlJKZX8Td8zax/Xg6r9/YGZ+Mgw3qu69tGtpvvzaxh+4lWVmkL15C2uefU3TiBC6XtifggQfwGDLELhMQ8rKziN62mR2//Uzc/j1YnJxo22cAnS8fwcnj7qQsO0pkEwuWUA8C7+6AxeP0IHKdO50rc/NEYDoQBmwH+gB/Yaw0ropYoOySvDCMt/5TKKUyy6SXi8gcEfFXSiVXJ1dDITU+h20rYvhnYwJKQevugXS7qgX+YZUHR0l+5x1SF3yG7x3jCXjwwTqU9kyyCrOYsW4Gv8f8zvCI4czsNxM3p0oG2JSCXYthxbOQdQI63gCXzwQf2zw8VkZ6biF3zP2bvScyeffWroyIasbq1QfPq0yNpiwWT0/87r6LpuNvJ+OHH0l+/31ip0w1DMLUqXgMHVqrBsHVw5P2A4fQfuAQkmOi2fHbT+z9YyX7/lxFQIsIwrpexrbtTekUm03829sImtix1kJiVoYtg8XTMdxJbFBKDRGRdsBMG+7bBLQRkZZAHHALcMYcQxEJBhKVUsr0X+QA2O6Q4wIm/nAGW385RvTOZBydHOgwKJQuw5rj5V910IqUTz8lec77eI+9gaAnn6y3KZEH0w7y8OqHic2K5fGej3N7+9srlyVuC/z8JBzfCM06w9i5EN73vGVIzi7g9k82cuRkDh+O786w9tqLqMZ+iKMjPtePxvvaa8j40TQIUx+wm0EAI9TmsAn3M3DcXexfu4btK5azbfkCHF2akOXeh16qBwnvbMd/fHtcI+0XT8MWQ5CvlMoXEUTERSm1X0SqXc6qlCoWkQeAXzCmj85VSu0Rkcnm9Q8wFqfdLyLFQB5wi2poARLKkXAkg7++PcyJg+m4uDvS8+oIooaE4epRvVeOtIULSXr1NbxGjqTZzJn1ZgSWH1nO8389j7uTO59e9SndgyqZJJaVAL/Pgu1fgnsgjHoXutx2VoCYcyExM5/bPtlIbFoun97Vg4Ftqh6T0GhqC3F0xGf0aLyvKWcQ2rcnYOoUPIYNq/X/pnMTVzpdPpyoYVeRcOgfdqxYzv71f/JrxhYGBt8C83bjOTzc9O9Q+9hiCGJFxAdYCqwQkTTKdfFUhlJqObC83LkPyqTfBd61VdgLmdT4HDYsPczRHcm4eTkz4KY2XNo/BCcX25ympS9ZQsLMWXgMGULIKy8jFtvuq02KrEW8sfkNvtj3Bd0Cu/HaZa8R4FZBBVxcYASL/+M1I91/Ogx8DJp41Yoccel53PbxBk5mFTD/7l70aVV9ABKNprYpaxAyly0jec77xD4w7ZwNglIKa0YGRYmJWLOzce3S5az/uYjQrE0kzdpEctkdE9m9cgVrv/uBrm59CftZcPFIhCG1raltK4tLJ60+LyKrAG/g59oXpWGSnZbP3z8eZf/6eBxdLPQe1YrOw5rbbACUUiS/8y7Jc+bg3r8/oW+9iTid+8DquXIy9ySPrnmUbUnbuL397TzS4xGcHMrJoRTsXwa/Pg1p0RB5NVz5AvjVnpO3Q0nZ3Dn3bzLzi/h8Ym+6tahfh3oajTg64n3ddXhdffWZBqFdO/ynTsFz2DAQOVXJF8XHU5yQSFFC6T6B4oQEihITUXl5p8p1HziQ0Ddex+JZ8Xihq4cnPUeNocc1o1nz5e/s/Ws/6Thw/p2uZ1PVOoKKOqR2mXsPINUO8jQY8nOK2PrLMXauikUpRaehzek+ItymLqBSrIWFxD/1NJk//oj32Bto9txz9WIENids5rE1j5FbnMsrA19hZKuRZ2dK3As/PwFH10BAOxj/LVxS3XwB2ymxKuatO8qrvxzAzdnCwkl9dKB5zQXFGQZh+XKS57xP3LQHsfj7Y83JOaOSB8BiwTEwEKegIFzatcNj8GAcg4NwCg6mKD6BpNdfJ/qWW2n+/pwq44mIgwODx19BbK809kdvt4tuVbUItmD0SAnQAkgz0z5ADNCy0jsvYooLS9i5OpatPx+jIK+YyF7B9Lq2ZbWDwGeVk5ZG7APTyNuyhYCHH8bv3kl1PiaglOLzvZ/zxpY3CPMM4+MrP6aNb7nZu1ar0Q302/Pg7A4jXoUeE2rsIK4qopNz+NfiHWyKTuPy9oH85/ooAr1q4MZao6lDxNER71GjTrUQsteuxdHPH6fgIByDgnFqFoxjcDCOfn6IY+X/kybt2xM3fTrRN95E6OzZuPeuOt5XWKQvh+LtU0dUKqVSqiWAiHwAfG/29yMiI4DL7SLNBYy1xMr+DQls+vEo2WkFhHf0o8/oS/APq/nijsLoaGLuu4/i+ARC33gdr5EVvIHbmdyiXJ5d/yy/RP/C0OZDeXHAi3g6l2uiZp+EpffDoRXQ7hq4dja4115/vdWqWPBXNK/8vB8niwOv39iZMd1C622QXKOpCWKx4D1qFN6jRp3T/e59ehPxf//j+JSpxNxzD8EzZuB78021LKVt2PJa11MpNbn0QCn1k4i8YEeZLiiUUhzdkcyGpYdJS8glqKUXl999KaFtz63vOnfzZmKnPgAODrSYPx+3bl1rWeLqOZJxhIdXPUx0ZjQPdXuICR0nnF35Hl4F395nuIYY+Rr0nFirqy1jUnJ5bPEO/j6aypDIAF4a04lgb90K0DQunMPDiVi0kLhHHyXhuecoOHiQoCf+XWVLwh7Y8rRkEXkG+AKjq+h2LpK5/uUpKbaSmZxHelIeGUm5pCfmkhidSfLxbHyC3BhxXxQtu/if8xtrxg8/EP/U0ziFhdH8ww9qPc5wYUkhKXkpJOclG1u+sU/JSznjfEJuAp5Onnx4xYf0adbnzEJKimDli8bKYP+2xlhAUO15PLRaFV9uPMZLP+3HIsJ/x3bixu5huhWgabRYPD1p/v77JP33VVIXLKDw6FFC33wDi1ftzMKzBVsMwa3AcxjBaQD+MM81SKxWRXZqPulJuaQnmhV+Ui7pSXlkpeSjrKcn6rq4O+IT6Mbg2yJp368ZDpZzmx+vlCJ5zhyS33kXt169CHtnNhbv8x8I/T3mdxbtX0RSbhLJeclkFmZWmM/HxQd/V3/8XP3oHNiZK92u5NZ2t54d+i4tGhbfA3GbodudMPxlcK65q97KOJ6ay7+X7GT94RQGtvHnlRs6EeJTs7EVjeZiRCwWgp58Apc2rYmfOYvom28xBpEjIurk+bZMH03FWF3coDm2J4V1Xx8kIzkPa/Hpyt7JxYJ3oCuB4Z607RmET6Ar3oFu+AS60cTj/GfwWAsLSZgxg4zvvsd79GiazZqJOJ9fyOfU/FTmnZzH1mNbaeHZgsimkfQK7oW/q/8Zm5+rH35N/HCyxc/PrsWGl1AEbpwPHWrP1a1Siq/+juE/y/YhIrw8JoqbezbXrQCNphw+Y8fiHB5O7LQHOXrzLYS99Sbufe0xYfRMqpo++pZS6iER+YEK1rMppc5thKSecHFzxCfIjYhO/vgEuuETZFT4bl7OlVZISimOZBwhyC0ID+eaDwqXpKcTO+1BcjdtImD6g/hNnnxelZ9Sip+jf+aljS+RVZDFtK7TuLvj3WfP968JhTnw0+Ow7Qto3htu+AR8aq/LKi49jyeW7OTPg8n0b+3HKzd0Isy39loZGs3FhlvPnkQs/prY++8nZuIkgp5+iqbjbIwAeI5U1SL43Ny/ZlcJ6ojglt6MvN+2GL9WZWVVzCo+3f0pu5J34SiOdA7szIDQAfQP6U9k00gcpOpuosKYGI7fex9FcXGEvPoq3teeX+ydpNwkXtzwIquOr6KTfyeuaXoNt3Y6zx66+J2weAKkHDJWBg9+slanhX63PY6nv92NVSleHN2R23pXHahbo9EYOIeFEb5wIScefYzEWS9QeOgQQU/WOBqAzVQ1fXSLuV9jt6dfYBSVFPHjkR+Zu3su0ZnRhHmE8XjPx0nNT2Vd3Dre3vo2b299G78mfvQP7U//kP70DemLb5MzZxDlbt1qzAxSihbz5+HWvdqAbpWilOK7w9/x303/pbCkkMd6PMbt7W/nzz/+PHdFlYKNH8KKGUZAhDu+g1aXnXt5Fcj87spDvL7iH3pFNOX1mzrTvKluBWg0NcHi4UHYnPdIev0NUufOpeDoUWTsWLs8q6quoV1U4eJIKWXb63UDILcol8X/LGbB3gUk5SbRrmk7Xh30KpeHX46jg/ERTe82neS8ZNafWM/auLX8EfsH3x/+HkHo6N/xlGFosf4oSTOewykkxJgZdB6DPSeyTzDrr1msO7GO7kHdmdlvJuFe4bYXUJQPOUnGeoCcJMhONNLH1sGRVdB2OFw3p1bXBhSXWHlm6W4WbTrOmG6hvDymE86O5++ETqNpjIjFQtDj/8KldWvin3sOD0cnuPrqWn9OVf0ApX0ZU819aVfRbUBurUtSD6Tmp/LVvq9YuH8hmYWZ9Azuyax+s+gX0q/CLgx/V39GXTKKUZeMosRawt6Uvaw9sZZ1cev4ePuHZL71HqM3KE5E+pH81FgyXFNpW+hf4/EFq7Ly9YGveWPLGygUT/d+mpsibzqjO8pSnAsxGyD5H7OCTzK2nJOnK/yCjIof4OZvzAjqPblW1wbkFBQz9autrD5wkmlDW/PIFW11V5BGUwv4jLkel1Yt+Ts+3i7lV9U1dAxARPorpfqXufSEiKwDZtlFojrgRPYJFuxZwDcHvyG/JJ+hzYcyIWoCnQM621yGxcFCVEAUUQFR3HvJHRx79CEKNqzl4OBWvHNZHgn734b9Rt7mns1p17Qdkb6Rxr5pJEFuQRVWkjGZMTy3/jk2J26mb7O+PNdnBqFFhbDvR0jcDQm7IXE3A9OPwdoyNzbxNlxBewRBcJSZNrcz0gHg6HKen+DZJGXlM2H+JvbFZ/Gf66MY17t210hoNI0d1y5dUOnpdinblpFBdxEZoJRaCyAi/QD7hsuxEwfTDjJv9zyWH12OIFzd6momdJxAK59W51xmYWwcsVOmUHD4MEHPPEO728ZxLcbg7oG0AxxIPcD+1P0cSDvAimMrTt3n4+JDZNNI2vkahiGyaSQbjq/hnR0f4ATMcm/P6JjDyKbeUJRj3CQO4NcaQrtxxHcgrfqOgoBI8AgGp/pblXsoKZu75v1NSnYhH9/RnaHtdAAZjaYhYYshuAeYKyKlK6DSgQl2k8hO/HD4B55a+xSujq7c2u5W7uxw59kLqmpI7pYtxE57EFVURPOPPsSj/+mGU5B7EEHuQQwKG3TqXE5RDgfTDrI/db9hHFIPsOjAIgpKCk7lGZyTy4yUNAKdTkJQR+h6OwR3NFb3BrQ/tcArZvVqWrUdfF7y1wabolOZuGAzThbhf/f1oVOYT32LpNFoaogtC8q2AJ3NQPOilKqk4/nCpn9of6Z0mcKtkbfi08TnvMtL/+Zb4p97DueQEMLefx+XVtU7Y3V3cqdLYBe6BHaBE9shdQHFx9dyzJrLfr9wPMP7M7DlCCQ4CrzDarX/3h4s3xXPQ//bTpiPK/Pv7kULPz0zSKNpiNgSvN4FuAGIABxL+7WVUg1qjKBpk6bc3/n+8y5HlZSQ9NrrpM6bh3u/voS++abt7iLyM2HX17B1AcTvAMcmOHa4nku63cklLfpc8BV/WT758wj/b/k+urXw5ZM7euDrfn6rpTUaTf1hS9fQd0AGRnyCgmryXtSUZGdz4tHHyF6zBt9x4wh68onqA8koBbGbYMsC2PMNFOVCUJTh0TPqRnD1qRPZawurVfHisn3MXXeU4R2CeeuWLjRxqvuwmhqNpvawxRCEKaWG212S+sZqhfz001MxS6dh5qaAxYXCTEXs7OUUnEgheOo4fMeOguw4Y7aOixc4lKsMc1Nh5/8MA3ByHzh7GBV/9zshpFuDevsvJb+ohEf+bzvLdyVwd/8Inrn6UiwODU8PjUZzJrYYgvUiEqWU2lV91guYjDiI+cus5JPKzLsvM//eWnz2fWIhJ9FC3FpfFEKLQam4p7wGH5bzvOHsaQRvb+JtRPKK3wklBRDa3Qjo0nEMuFQcm7QhkJZTyKTPNrP5WBrPXN2eiQPPfaaVRqO5sLDFEAwA7hKRoxhdQwKoBreyOPZvWHKPkXZwOj2n3iO4zLz7IPAIOJVW7v6k//AbCV+/gHNYCM1fmYFzoCfkZ5hbprEvyCxznG4cd78Tut1hlN1AUUqxMzaD5bviWbo9jrScIt4d15VrOoXUt2gajaYWscUQjLC7FHVBqyEw9W+j8nf1rbZrJmfDRk6++Sx5O3bg3r9/nQeKqC+UUuyOy+THXSdYtjOe2LQ8HB2EgW38eWBoa7qHN61vETUaTS1jy/TR0hXGgUDDjSXo6mPTwGzert2cfPNNctavxzEoiOBZM/EZM6bOQ8fVJUop9pzIZNmueJbtjCcmNRdHB6F/a38eHNaGKy8NwsdNzwrSaC5WbJk+Ogp4HQgBkoBwYB9Qe/ELLwAKDh/m5Nuzyfr1Vyw+PgQ+/ji+427FoUnDtX1VoZRiX3wWy8w3/+iUXCxm5T91yCVceWmwnhKq0TQSbHnNfQHoA/ymlOoqIkNowKEqy1MUF8fJ9+aQsXQpDk2a4D91Kk3vvguLR80D0VzoWK2KnXEZ/LY3keW74jmSnIPFQeh3iR+TL7uEKzsE01RX/hpNo8MWQ1CklEoREQcRcVBKrRKRV+wumZ0pTkkh+YMPSV+0CERoOn48fvfdi2PTi6sPPDO/iD//SWbl/iTW/JNEcnYhDgJ9L/Fj4sBWXNUhCD+P2ndCp9FoGg62GIJ0EfHACFr/pYgkARXMs2wYlGRlkfLpp6R+9jmqoACfMdfjP2UKTs2a1bdotYJSisMnc1i1P4mV+5PYFJ1KsVXh7erE4MgAhrYLZFCbAN3to9FoTmGLIbgOyAMexohF4E0DdEFtzcsj7csvSf74E6wZGXiOGE7AtAdt8hFkF3msirj0PP5JzOKfxGwOJmaRmV+Mn7szTT2c8XN3xs/DGT93F5q6O+PvYewrCvJSUFzCxiOprDQr/5hUI1xEu2BPJg1qxdB2gXRt7oOjRQeI0Wg0Z1NVhLLWQJBSap15ygosEJFBgA+QYn/xao/M5T+R9NrruA8cSMBD03HtUDdj3UoZFf7BxOzTlX5SFoeSssktLDmVL8jLBV83Z3bGppOaU0ixteLgcJ5NHPH3cMFSnMdXMZspsSr+OpJCbmEJLo4O9G/tf6ryD/VxrRMdNRpNw6aqFsFbwFMVnM81r11bXeEiMhx4G7AAnyilXi53XczrI81y71JKbbVF8JriPepanFtG4NatW43vVUpRVKLIKywht6iY3MIS8gpLyCsqMdPFZdLG/nhqLv8kZXMoMYucMhV+gKcLbYM8uKlHc9oGedI2yIM2gZ54uzmd8bzMvGJScgpIySkkJbuQlJwCUrMLjeOcQg7H5hGTmktRiZUbuoUxtF0gfS/x035/NBpNjanKEEQopXaWP6mU2iwiEdUVLCIW4D3gCiAW2CQi3yul9pbJNgJoY269gffNfa0jTk6njEBRiZW0nEKSswtJzTEq2ZRy6ZQc8zi7gJzCEkoqeUOvDH8PZ9oEejK2exhtgjxPVfq2zMcXEbzdnPB2c6JVQMV5Vq9ezeDBgyq+qNFoNDWgKkNQ1QR6W/ocegGHlFJHAERkEcZ4Q1lDcB3wmVJKARtExEdEmimlaj0w56oDSbzww15ScgrJyCuqMI/FQfB1c8bfw5mm7s50CPHCz90ZjyaOuDpZcHV2xM3ZgpuzhSZOllNpVydHXEvTzhZcnSw46f54jUbTQKjKEGwSkUlKqY/LnhSRezBcUldHKHC8zHEsZ7/tV5QnFDjDEIjIvcC9AEFBQaxevZrs7GxWr15tgxgGR9JL8HcsomWA4OXshKez4OkseJXZuzmBgwjGcEi+uZWh2NyMsVhKgCxzq2tqqv/FRGPWHRq3/o1Zd7Cf/lUZgoeAb0XkNk5X/D0AZ+B6G8quyJlP+f4VW/KglPoI+AigR48eavDgwWbXyGAbxDAYjBFz82KhpvpfTDRm3aFx69+YdQf76V+pIVBKJQL9zJXEHc3Ty5RSK20sOxZoXuY4DDhxDnk0Go1GY0dscTq3Clh1DmVvAtqISEsgDrgFGFcuz/fAA+b4QW8gwx7jAxqNRqOpHLu51FRKFYvIA8AvGNNH5yql9ojIZPP6B8ByjKmjhzB63u+2lzwajUajqRi7+lZWSi3HqOzLnvugTFoBU+0pg0aj0WiqRs9x1Gg0mkaONgQajUbTyNGGQKPRaBo52hBoNBpNI0eM8dqGg4icBI4B/kByPYtTnzRm/Ruz7tC49W/MusP56R+ulKrQe1mDMwSliMhmpVSP+pajvmjM+jdm3aFx69+YdQf76a+7hjQajaaRow2BRqPRNHIasiH4qL4FqGcas/6NWXdo3Po3Zt3BTvo32DECjUaj0dQODblFoNFoNJpaQBsCjUajaeRc8IZARIaLyAEROSQiT1RwXURktnl9p4jUPDr9BYoNut9m6rxTRNaLSOf6kNNeVKd/mXw9RaRERMbWpXz2xBbdRWSwiGwXkT0isqauZbQnNvz2vUXkBxHZYep/0XguFpG5IpIkIrsruV77dZ5S6oLdMNxXHwZaYURG2wFcWi7PSOAnjGhnfYCN9S13HereD/A10yMuFt1t1b9MvpUYXm7H1rfcdfjd+2DE/25hHgfWt9x1rP9TwCtmOgBIBZzrW/Za0n8Q0A3YXcn1Wq/zLvQWQS/gkFLqiFKqEFiEEfC+LNcBnymDDYCPiDSra0HtQLW6K6XWK6XSzMMNGBHeLhZs+e4BpgFLgKS6FM7O2KL7OOAbpVQMgFKqsemvAE8REcADwxAU162Y9kEp9QeGPpVR63XehW4IKgtuX9M8DZGa6nUPxlvCxUK1+otIKEb87A+4uLDlu28L+IrIahHZIiJ31Jl09scW/d8F2mOEtt0FTFdKWetGvHqn1us8uwamqQVsCW5vS56GiM16mXGl7wEG2FWiusUW/d8C/q2UKjFeDC8abNHdEegODANcgb9EZINS6h97C1cH2KL/VcB2YChwCbBCRP5USmXaWbYLgVqv8y50Q2BLcHtb8jREbNJLRDoBnwAjlFIpdSRbXWCL/j2ARaYR8AdGikixUmppnUhoP2z93ScrpXKAHBH5A+gMXAyGwBb97wZeVkan+SEROQq0A/6uGxHrlVqv8y70rqFNQBsRaSkizsAtGAHvy/I9cIc5kt4HyFBKxde1oHagWt1FpAXwDTD+InkTLEu1+iulWiqlIpRSEcBiYMpFYATAtt/9d8BAEXEUETegN7CvjuW0F7boH4PRGkJEgoBI4EidSll/1Hqdd0G3CJRSxSLyAPALxkyCuUqpPSIy2bz+AcZskZHAISAX402hwWOj7s8CfsAc8624WF0knhlt1P+ixBbdlVL7RORnYCdgBT5RSlU43bChYeN3/wIwX0R2YXSV/FspdVG4pxaRhcBgwF9EYoHnACewX52nXUxoNBpNI+dC7xrSaDQajZ3RhkCj0WgaOdoQaDQaTSNHGwKNRqNp5GhDoNFoNI0cbQg0NmO6M7iq3LmHRGROFfc8dR7PijiXe+sLEekiIiOruL7Q9Bb5cF3KVR0iEi0i/mZ6fSV55lfn3VVE7hKREHvIqLEv2hBoasJCjMU9ZbnFPF8ZNTYEImKp6T31jYg4Al0w5ndXdD0Y6KeU6qSUerMGZdYpSql+53H7XYA2BA0QbQg0NWExcI2IuACYb+whwFoRuVVEdonIbhF5xbz+MuBq+sz/0jx3u4j8bZ77sLTSF5FsEZklIhuBvhjeF0tExGK+je42yz/rbVpEbjSv7zBdLZS+nb5bJs+PIjK4zLNeF5GtIvK7iASY51eLyFtixHbYLSK9zPNNRWSp+Ta/wXTrgYg8LyIficivwGfALOBmU7eby4n5KxBoXhtoth42mGV+KyK+ZWT4jxjxBaaX09NDROaZn8NOEbnBPP++iGwWwy//zDL5o0VkpqnnLhFpZ573E5FfRWSbiHxIGd81IpJt7kVE3hWRvSKyDAgsk+dZEdlkfkYfmXnHYrj8+NLU0VVEuovIGjGc4v0iF4dX4IuT+va9rbeGtQHLgOvM9BPAqxjGIAbDL7wjRnyA0Wae7DL3tgd+AJzM4znAHWZaATdV8LzuwIoyxz4V5NkFhJa9jvF2+m6ZPD8Cg8s86zYz/WxpPmA18LGZHoTpDx54B3jOTA8Ftpvp54EtgGtFzywnYwRl/MtjrAi+zEzPAt4qI8OcSsp4pTSfeVwai6KpubeY93cyj6OBaWZ6CsbqY4DZwLNm+mrz8/Av+30BY4AVZpkhQDpmvIfS55npz4Fry8jew0w7AeuBAPP4ZowVwvX+G9bb2ZtuEWhqStnuodJuoZ7AaqXUSaVUMfAlRkVanmEYFfsmEdluHrcyr5VgxBUozxGglYi8IyLDgYq8S67DcDcwCaPiqg4r8D8z/QVnem1dCKd8wnuJiI95/XPz/ErAT0S8zfzfK6XybHjmKcx7fZRSpVHFFnDm5/W/s+8C4HLgvdIDdToWxU0ishXYBnQALi1zzzfmfguGMcJ81hdmGcuANM5mELBQKVWilDqBYdxLGSIiG8Vw7zDUfGZ5IoGOGF5BtwPPcHHFy7iouKB9DWkuSJYCb4gRHs9VKbVVDOd3tiDAAqXUkxVcy1dKlZQ/qZRKEyME51XAVOAmYEK5PJNFpDfG2+12EemCEaSk7ItOkyrkUpWkS4+rcvubU0W550plZQrl5BORlsBjQE/zs5rPmboWmPsSzvy/2+Jb5qw8ItIEoyXXQyl1XESep+LPVoA9Sqm+NjxHU8/oFoGmRiilsjG6AOZyepB4I3CZiPibff63AqVvu0Ui4mSmfwfGikggnOp7D6/qeWLMZnFQSi0BZmCE8Cuf5xKl1Eal1LNAMoaL3migi4g4iEhzjKhXpTgApTNgxgFry1y72SxzAIZXxwzgD+A28/xgDPfPFbVMsgDPqvQBMMtME5GB5qnxnP68quJX4IHSA3NcwQvDcGSI4YVzhA3llNVnBOBbSZ5bzDGaZsAQ83xppZ8sIh6c/hzhTP0PAAEi0td8jpOIVNRy0FwA6BaB5lxYiNHlcAuAUipeRJ4EVmG8CS5XSn1n5v0I2CkiW5VSt4nIM8CvIuIAFGG85R+r4lmhwDwzP0BFrYlXRaSN+ezfMWLcAhzFGD/YDWwtkz8H6CAiW4AMzMrfJE2MKZRenG55PG/KsBPD2+Odlci6CnjC7Ap5SSlVWRcPZhkfiOFC+gi2eZB8EXhPjKDmJcBMpdQ3IrIN2GOWs86GcmYCC83upDUY4zvl+Raj22cXRoyDNQBKqXQR+dg8H43hMrqU+aZOeRgD/mOB2WZXmCNGIKE9NsinqWO091FNo0NEspVSHhWcXw08ppTaXPdSaTT1h+4a0mg0mkaObhFoNBpNI0e3CDQajaaRow2BRqPRNHK0IdBoNJpGjjYEGo1G08jRhkCj0WgaOf8fqec4zIK+VH8AAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swUnnormalized = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 2000,\n", + " sorter=utilDeviation,\n", + ")\n", + "swUnnormalized.saveFile(\"unnormedUtils\", False)\n", + "swUnnormalized.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "5a5ae0bc-e660-4cae-aa3c-e5559b1944fb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swWeighted = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 2000,\n", + " sorter=weightedUtilDev,\n", + ")\n", + "swWeighted.saveFile(\"weightedUtils\", False)\n", + "swWeighted.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1ff8eabf-e90f-4bfd-a9dd-66602391444c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swva = CID(\n", + " KSModel(),\n", + " [\n", + " (Plurality, Plurality.vaBallot),\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " (STAR, STAR.vaBallot),\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 5000,\n", + ")\n", + "swva.saveFile(\"swva6new\", False)\n", + "swva.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "17d8a301", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swva2 = CID(\n", + " KSModel(),\n", + " [\n", + " (Plurality, Plurality.vaBallot),\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " (STAR, STAR.vaBallot),\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 500,\n", + ")\n", + "# swva.saveFile(\"swva6new\", False)\n", + "swva2.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "687a7b14", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swvapap = CID(\n", + " KSModel(),\n", + " [\n", + " (Plurality, Plurality.vaBallot),\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " (STAR, STAR.vaBallot),\n", + " Minimax,\n", + " ],\n", + " 24,\n", + " 6,\n", + " 500,\n", + " numBuckets=12,\n", + " pollAfterPert=True,\n", + ")\n", + "swvapap.saveFile(\"swvapap\", False)\n", + "swvapap.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a85c07a8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swvapap2 = CID(\n", + " KSModel(),\n", + " [\n", + " (Plurality, Plurality.vaBallot),\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " ],\n", + " 24,\n", + " 6,\n", + " 500,\n", + " numBuckets=12,\n", + " pollAfterPert=True,\n", + ")\n", + "# swvapap2.saveFile(\"swvapap\", False)\n", + "swvapap2.chart(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6ecdcd35-1c2b-438e-aaab-74872cc8adb2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "swva12 = CID(\n", + " KSModel(),\n", + " [\n", + " (Plurality, Plurality.vaBallot),\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " (STAR, STAR.vaBallot),\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 12,\n", + " 2000,\n", + ")\n", + "swva12.saveFile(\"swva12new\", False)\n", + "swva12.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "c2211295-08ea-4c7a-8e09-862cda4bfc04", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "approvalStrats = CID(\n", + " KSModel(),\n", + " [\n", + " (Approval, Approval.zeroInfoBallot, {\"pickiness\": 0}),\n", + " (Approval, Approval.zeroInfoBallot, {\"pickiness\": 0.4}),\n", + " (Approval, Approval.zeroInfoBallot, {\"pickiness\": 0.8}),\n", + " (Approval, Approval.vaBallot),\n", + " ],\n", + " 72,\n", + " 6,\n", + " 10000,\n", + ")\n", + "approvalStrats.saveFile(\"approvalcid\", False)\n", + "approvalStrats.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "8174b07d-75e4-494a-890d-4ab99dfa28be", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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f8SZgGDBDCOHDX7t4hpTy+EW1LECAi4B9TwFFsw/hs7gwdUvAtuFbSmbMIGLMGCIfeQSvx8evn++kONeCRrkcU3gEXW4fidll5v1N7zPz4EyaRDRhXNdxqBQX9iGoM5qo93gfst/bSHxhTSY94g/Mi6tbn2533k2d1u1QKJQsX778rH0bRTRi+o3TmbF/BtnWbOweu38JtzP7oTCGfLiNAZ9s4rP7a5BtcJet90gPAMbaSgam12DhqpfIvymBhq0aUT+oITXctdEUBVGUZaMgw0Latjz2rMkCQK1VktqnJqm9EwNZzFc51RkaOga8Dbx9cojoJWAcEBhIDHDV4LW4KJ53GPv2PNSxRiJGNqJo6seU/PAdEffeQ9QTjwOw/Nt9ZOwvplajo+xfk86gZ15iVd463lz/JgWOAkYo29CzJB5vcSFEGS64nepwPWED6iDmCbp3HkVMr4bEN2xcrZ6HVqllRKMRFa6zt9jN8ZGjeO0nFbW++R5VmH8+we11Y/PYOG4+zsaQeWhmr8W+s4hpsdNwn0xl1qv01A+rT8OODWkQ1pA6mhSCzJEcWJfLxvlH2LUindYDkmjcJR6lKpDFfDVSLTd+sgj9rfh7Bl7gmYtoU4AAFwwpJfYdeRTPTcPn8BLcpxZB3RIo/mkGRd9+S/ioUUQ9+SRCCDb+coR967Np0tXA1l/mU6tNG8aXzuD3Xb+TEpbCu+pG/LbdxHyUzD84iWiTkuTGrahTtx61atVCo9FcEJuNHWpg25FPXJ6KyOBaF2T4Sd+4MQnjx3Pivvs4MXYstSZPRmE0olaqCVGG0DSqKU1ua8Ls46+h2r6df98+iyKDk72Fe9lbsJd9hfuYfWg2ds/3AKgVahonNqZ7neswbq3NqukH2b7kBG1vTCalTUxgPuEqozpzBBvwJ5TNAIZKKQ9fdKsCBLgAeM1Oin4+hGNvIerEIKJuqYc61oh9xw5y3vwvxi5diH72GYQQ7N+QzR/zjpDSLpqs/d8gVQrGRyyi+ISNR1If5q6soyxcfwC3aMJtfduTv3Emhws9bNzgYv2GP1AqlSQmJlKnTh3q1KlDbGwsCsXfezsWCkHYkHrkf7GT3PHbCOpRk+CeiYjz1AwytmtL/Afvk/7oY6Q/8igJEyegOMN5CSHoM+YRvnryQRZP/ITbXn2b+uH1GVR3EOAPmT1mPsa+wn3sLdjL+qz1fJjxfxAFHcP70uxwbxZP2cPWRcfpMKhOQNbiKqI6PYJRUsp9594sQIArAykltk05FP9yGOmRhAyojalzPEIh8BQVkf7Y46iioqjx9jiEQkHmwWKWfrOX+JRQ1JE7yfh1N2uaFpAQW49JHV4h+Y/JZK7/iS3cQft2HWjQoT+070fnQ0tw/fYfjueXctjQnjSzgSVLjrJkyRL0ej3JycnUqVOH5ORkQkND/1Ib1FEGYh5vSfG8w5QuOY5jXyHht6agjjGe17UJ6tWLuDfeIOv558l85lni33sXcUb+gCksnJ73PMCCj99h47xZtBs0tGydQiioHVKb2iG1y0JmT5SeYOnxpSw6toiJymepG9aSjhkDKfjUQmhtDb2GNiE2+a+1PcClpzpzBAEnEOCqwVPooOjngzgPFqOpHUzYLSmoI/1FXqTXS+ZTT+PNz6fWd9+hCgujOMfGgok7CI7QUdxmK3snzqQ4wsOQWx7htvrDUCx+Bbn2ExaaHsXgM9KtWzf/iYSAer3RJHen7rZvqbv0TSicgaX+LRyuNZy0HDNpaWns3r0bgLCwMGJjY4mJiSlbQkNDq+w1KAxqwofVR984gqKfD5LzyVZC+iaVRfL8XUIHD8JbUkzuW+PIDgoi9rVXy725N+jYlUMb1rLux2nUadmGyJpJZeuklPjMZtzZ2agiI0mMSGRU41GMajyKHGsOS44vYenRBdh2aGiR3peZb2/Bm1RMm5uSaNcwFYUIzCFciQSm+gP8I5A+iXVdJiW/HQUEoYPqYGwbV26sOv+zz7CuWUPsa6+ib9oEu8XFvE+3I/GxpMlXGH/aT01p5O4n36Z+cnNY/DKs/ZidyWM5cVjJTTf1Rq//U+UwpQpajYYmQ2Dtx5jWfEyzg3Np1u5+5INPkmfxkJaWxvHjx8nJyWHv3r1lu2o0GqKjo8scQ2xsLNHR0eh0unKn0DeJRFMrmKKfD1Gy4AjxYQo8zezlqqf9VSJGj8ZbVEzB//6HMiyM6H89AfirsHmysuiQ2pbj2zYz79UX6BuXjDc7B3dWFp6sLHw2GwAKo5GkGdPR1qkDQIwxhjsa3sEdDe+gsEchSw4tY+fSXYTtq8umjwuZWeMDYrsqebjzWHQqXaW2Bbj0BBxBgKsen8ND/tTduI6a0aaEEXZzXVSh5R80pcuXkz9+AiE330zo0KH4fJIFE3ZgLrQyt/GnBJ8ooXG2kU7DRpx0Aq/Amo9wtriHRYeiiYszkZqaWrkRWhP0eMHvFJa9Ces+Q2z9luhuzxLd5l46dOgAgMvlIjc3l5ycnLJl9+7dbN68uexQoaGhxMTEEBUVhUajQaVSoVKpUDZW4gsB26Zc8j76jZB28ZiaRJetV6lUaDQagoKCqnXdoh5/DG9xMQWff45l2TI8BQV4CwvL1jcKNrKldixbNq+niTEMbXJtjJ06oo6NQxUZQc5b40h/5FGSZkxHaSqvahquC2dok1sY2gRyCgr4deYmkrY1xzPDzXMFL/P2oNfRKC/M5HqA86c6k8Vq4AFOy1CvACYGZKgDXClY1mTiOmom7JZ6GFrHnDVB6UpPJ/PZ59A2bEjsf15CCMH2FcfITjOzpO40UuvVIWlmLoaaIbS58WZY8iqs+RBa381q3QBKS1czdOjQ6k3+BteAgZ9Bu7Hw+0vw2/Pwx+fQ6TGIrIcmKI6EmBokJCSU7SKlxGw2k5OTQ3Z2dpmDOHDgAFJWMA50akh/4zbYePbqjh070rdv33OaKoQg9j8voTAZce4/gD41FXWNOFSxcajj4qgTF4tt9nQObFhD2zf+j5jkuuX2V8XEcvzuu8l6/nniP/640onhmIgIRo3pR0mejWn/XUvI2oY8HfIM7/Z8B7VCfU47A1x8qtMjmEBAhjrAFYp0e7GszUBXPwxjm9iz1vscDtIffRSkJOHjj1DodDgsbtbOPkhG8CFGD7oZw4p0thcfYNCTL6Jc8V9Y/QG0uovC9v9m7YQJNGvWjJo1a/41w2Kbwoif4dAS+P1FmP94+fX6MAiqAcE1EMFxhATHExIUR0pcDajfCIJ6IXWheH0+PB5PuWX9+vWkNk/FsjMH87oMPEqJvk00igQDhw8fZu3atQQHB9O+fftzmimUSmKefrrS9b3ueZD0vbtY+Nn73PnWR6jUpx/cxnZtiX76KXLfGkfBF5OIHHNflecKiTLQ985m/PaFgiMbdvCC+gXe6vIWSkUgJelyE5ChDnBVY92cg8/qIahbQoXrs994A+eevSRMGI8m0a8cumr2PrwOiaXzYVp5uvLDos9p2f9G4o5Ph9Xv+4d3rn+f36ZPR6FQ0PsMOYe/xMkJZer0gIJDYM6E0iwwZ4A56/T/s7aDNY8/zwILXSiqPq+hajkSzpg3MJlMJCQmQGIC7raNKJqxH9eqUvRNNTS6aQBOp5Nff/2VkJAQGjZs+PdsP4nOZKLv/Y8y661XWPvjNLreMbrc+vBRo3Ds2Enehx+ia9QIU+dOVR6vbqtoDm2Ohm3XM33POP6j/A+vd3o9MIl8mQnIUAe4apE+SenKDNSJQWhqh5y1vvinnyj5aSYRY+8nqEcPAPJOlLJ/TS67Y1fzSJeR/D7uE4IiIukUmwmrPoCWo+D6D0g7coT9+/fTq1cvgoODz89QhRKi6vuXyvC4wJJ90kFk+v/dvwDmPQoHf4cbPwZjxFm7qSP1RI1tTunKdMyLjuE8UkKPlGYUBxUw88efuL3vEGrVS0IZokX8zazf2i1a07RnXzbNnUXd1u3KdJfAP7wU98brOA8eJPPJJ0ma+ROahIqd8im63Z5C5sEihmU+zue659EoNfyn/X8COQeXker8Mk7JUC8XQqwAlgJPXVyzAgQ4N/Zd+XgLHQR3SzjrIWLfvZvs117H2LEDUY88AvjH4pd8twuHyoqnuY1Pxs2lMOMEqQ2NaNZ/AC1Hwg0f4pWShQsXEhYWVjbJe9FRaSC0JtRsB40HQ4cHYeRc6Pum3xFM6AAHF1e4q1AIgrsnEvNIC9SxRrwHzfTKa4DBo+HHhbPY/+5KMl5aQ+abG8gdv42C7/ZSvOAIlrWZ2PcU4Mq0IL1Vx6R2G3EvpogIfh3/AW6no9w6hcFAwqefIKUk/ZFH8dntVR5LH6Sh6231IU/Hvd7n+OnAT4zbOK7i+ZAAl4TqOILVQD3g0ZNLfWDNxTQqQIBzIaWkdEU6qkg9ukbl35S9xcVkPPoYyogIarx7OmHqwB85FByx80fiAjasr0ty5gZUwVra5n/Db9p+zK35LB4Jf/zxB/n5+fTr1w+V6jIG1ikU0PFhuG8p6MNh2i2w4BkU3opV4NWxRqLubUqNf7en7us9GD7iToROyaKw3ai7RqNLCUNolLgzLFjWZFA8N42Cr/eQ+/FW8j7fgc9VeUdfazDQ/4HHKcrKZPX3X5+1XlOrFvHvvI1z3z6yX3nlnA/1uq2iqds6GtXWWEbGjmHa3ml8sOWDgDO4TFTnV75OStkS2HHqCyHEFuDs8kkBAlwinIdLcGdYCB1ct1yugPT5yHj2Wdy5uSR9+w2q8HAAXA4Pi3/YQ67xGDtUKsZoclAIH3dFr+JQws28XTSCtB+28/7CXfTwbiapdjL161cxlHMpiW0KY5b7Q1o3TKCVYQE0ioO4ZpXuItQKYurFc/vwO/jqq6+Yl7GKUaNGoT452St9Ep/VjbfYifOYmZJfDlP4w34i7mxYqU5QzSbNSe13A1sWzqVum/YkNi5/flO3bkQ+/BD5n3yKrmkzwu8cXmWzut6WQsb+IsI3tWNYDzNTdk1Bp9TxYOqDf+nyBDh/Ku0RCCFihRCtAL0QooUQouXJpTtw4WUXAwT4C5SuSEdhUmNsGVPu+/yJE7GuWEnM88+hb+6Pcci3OPm/d9eDHdYk/cI3KY3hwAaahaQT3PZW6t79JYue7MEXI1vTXJGO1+3h8yPBvPPbfnLNjopOf+lR6+C6t+DOWag8FviiJ6z5GHy+KnerWbMmt9xyC+np6cyaNQvfye2FQqAM0qBJDCKoczwhNyTj2FNA8dy0Kt/Ku94xmtDYOH6d8BEuu+2s9ZEPPICpe3dy3noL2xm5ERWhN2nodkd98k9Y6Ft0O4PrDmbC9glM2jmpGhckwIWkqqGhfsC7QALw3hnLE8ALF9+0AAEqRlMKzgNFmDrVQKhP/4Qtq1aT/8mnBN90I2G3346UkjnbMhjy9grC0h3si1rPcFMOeXMmo1RA23tegJs+AYUChULQONRLmD2dek1SSa2XyMQVaXQet4ynf9zOgZzSy9jiM6jbi02tP4aUfrDoJfj6JihJr3KXRo0a0a9fP/bu3cvvv/9e4TZBneIxdY3Huj6L0hWVH0+t09H/gScw5+ey4tvJZ60XCgU13h6HOr4G6Y8/jjsnt0rb6rSIpl7raDYvOMZDiU8yoPYAPtryEd/s+abK/QJcWCp1BFLKr6SUPYDRUsqeUsoeJ5eBUspZ5zqwEGKyECJXCLGrkvXDhRA7Ti5rhRDNK9ouQIA/E3pEIDQKTO3iyr5zZ2SQ+dRTaOvWJe6VV8grdTLmm8089v02+lolUuniWI3Z9D+ex15zDKkDBmNqM9Qf4ol/zmHhwoUYjUaG3tiP8cNbseyp7tzWNpF5OzLp+8FK7pryB2vT8i/7OLZbEwzDvoWbPoWMLTChI+yaWeU+7du3p127dqxfv57169dXuE1I/9rom0dh/vUotq2VP8DjGzSi1YCB7Fj8KzmHD521XhkcTMInn+Cz2sh4/HGky1WlbV1vq4/WqGb5N/t5rcPr9KnVh7c3vs2M/TOq3C/AheOck8VSyqp/YZUzFehfxfojQDcpZTPgdeDzv3meANcQniIHQVkCY9s4FAb/eLfP5SL98SeQXi/xH3/ErL2F9H5/BZsPHOPLmB2EWNVsSFzAmPgmbDLegUavp83AoeWOu3PnTk6cOEGvXr3KtH5qRRh5bWAT1j3Xiyf7pLAzo4Q7vthA53HLeGjaFiauSGPtoXzMjsuQZC8EtBwBD6yGyBT46W6YdT84SirZXNCvXz8aNGjAr7/+Wk7zqGwbhSB8aAra5BAKfzqA41BRpafvMOR29EHBLP9mUoWOUZeSQo0338C+dSs5b42rsik6k5ruJ4eItv+Wwbgu4+iW0I3X17/O7EOzq74OAS4IFy2LQ0q5EiisYv1aKeWpX9p6/ENQAQJUiWV1BgCmzjXKvssfPx7Hzp3oXnqF+5fn8dyPm3kkeAXrjM+TkVaLUn023pRMWjd5ngMb/6DlgEEYgk/nHTidThYtWkSNGjUq1BMKM2p4pFc9Vj/bk3G3NCU1MZQdGcW8tXAfd0zaQLNXfqfnu8t57IetfLn6CBuPFmJzeS76tQAgPBnu+hW6Pw87f4QJnWH1h3B8A3jKRxcpFApuvvlmEhISmDlzJidOnDjrcEKlIGJEI1SRegq+2Ysr01LhabUGIx1vvZP0PbtI27Shwm2Cr7uO8Lvvpui77yj+eXaVzUhOjaJemxg2LzhKcaaD97q/R4e4Dry89mUWHF5QrUsR4O9zpYjO3QMsvNxGBLiy8dncWDdmUxonSTwpKmffvZuCLyZR0LkPt25R0sX3O5vCfyTUfJRNqicp9cayrPanvNL+adZ98x06o4lW1w8sd9zVq1dTWlrKrbfeWqWekE6tZFibmgxr45ebKLK62JFRws70Ynakl7DhcCFztmUCoBBQN9pEs4RQmiWE0KVeFLUjz6+WQKUoVdD9OajTE+b/y6+aCqDUQnwrqNkeanaAxLZo9KHcfvvtTJo0ie+//5577rmHiIjy4bcKvYrIu5qQN34b+VN3E/1g87NE/ACa9erH1l/nsXLaZGq3aIVSdbZuUPS/nsCxezfZL7+MNqUe+saNK21G12EppO8vYslXexn6XGs+6vkRDy5+kBdWv4BepadHzR7nd50CVIqobLxTCHFzVTtWc54gCZgvpWxSxTY98OsYdZZSFlSyzRhgDEBMTEyrH374AYvFgulPiofXEtdi+8PSBBEHFexrUUppiI6d2U46f/4uWlspH/Yayoshs2ju24NNH8/u+PvYuK4ZR0J3cazZGkbKQez/+TtqtOtCXMt2Zce02+388ccfREdHn7ccA0Cxw8dRs48jJT6OmH0cKfFS6gK1At7opCfGeP6d8HP97dWuEkJK9p5c9mCypKGQXiQCq7EWJSENSdc3ZPExBSq1hhYtWlRYZlNTCvEbFHh0kNHOh68CfbiSY4c5tGAWiZ16Et2s4ohyUVpKxH//D4Sg4IXnkVXYbk6XnFgtiWoM0U0VOH1OPs75mCx3Fo/EPEKUO+qa+92fyfnc9z169NgspWxd0bqqegQ3VrFOAud0BOdCCNEMmARcV5kTAJBSfs7JOYTWrVvL7t27s3z5crp3736+Jly1XGvt9zo9ZKz4g8wIJa+nCY6Z7dyx73fiCjPJGtSVGbo3QRcO3d/F0Go0BV/ux0c2a2rNZEqfL9jx2dfog0O45cFH0ehO6/h///33qFQqhg8ffv5SEhUgpSQtz8Kgz9YyP9vI13e3PW8pher97c/o9bhskLEJcXw9puPrMJ1YRbxrITWI4yvPUI5vW8ao/m1QNxnol8M4A0ejYvIn76LB4RCi7m5aLkrL375u/HTiMLnbN3LT3WPQVfKQsiclceyO4dSeNYvEL74oVxXtzyxy7+bQxlx6DGxFVM0g2jjaMGLBCCYXTebhiIe5ofsN52j7P5eLdd9XFTV0VxXL3ed7YiFETfzOZISU8sD5Hi/AP49Sh5sFO7N4csZ2/vPflSjsXt4qKEKrhNeb6RhxaCnB7erRU/cDIqUf4tGt0PY+0g+WkrYlly3xi+jRqAv6TCfHd22n3aCh5ZxAWloa+/fvp2vXrhfFCYB/krZudBBP9U1h1cF85u/IuijnqRKNAWp3hW7P+BVRnz0G968k8bonuDmxgHSbhrmzpiM/aQObvyo3t6CrE0r4rSm4jpgp/HE/0vcnYTwh6Hbn3TisFtbP+qFSE/RNmxLz0otY166j+MefqjS3y60p6Exqlny1F6/HR7gunIm9J6IQCsbnjCfPlnd+1yPAWVSrnyqEuF4I8YwQ4j+nlmrs8z2wDqgvhEgXQtwjhBgrhBh7cpP/ABHAeCHENiHEpr/digD/CHw+yf7sUiatOswdX6ynxWuLeHDaFpbuyeE2qcEaruXLl3rwQmsNnWdNRKlXEVNjFTQaBLd+A7oQvF4fq2YcxGOysyt+OQ81f4g1M77FFBZOsz7XlZ0rNzeXX3755ZLpCY3okETT+BBem7+HEvtlLuWhVEFcc2h3P43uGU+P7j3YSUO2+er6Re4+ag5rPwGnP3fC0DyakAG1se/Ip2TBkbMOF52UTJPufdj663yKsjMrPW3o0KEY2rYl94MP8BRVHpGkM6rpfmcDCjIsbFpwFIDE4ETG9xqPxWfhwSUPYnFVPIkd4O9xTkcghJgIDAMeAQQwFKh1rv2klLdLKeOklGopZYKU8ksp5UQp5cST6++VUoZJKVNPLhWOXQX453Lqwf/V2qM88O1mWr+5mH4fruSNX/ZSYHFxb5dkfhzbgVWDUwlzSRKvq02YUYth0WIcu3YR2zQTVZtb4ZYv/aJtwK7lGRRmWlkcP43bmgzDmZZF5v49tLv5NtQaLW63m6VLlzJx4kTsdjsDBw68JHpCSoXgv4ObUmBx8u5v+y/6+f4KXbp2JSkpiQW25uQPnAaR9fw1FD5oDEvfAGs+pi7xmDrWwLI6g9JVGWcdo9OwO1GqVKz6bmql5zlVCMdntZL73ntV2lS7WST128Wy+ddj5B33O6TGkY25J+oeDhUd4onlT+D2BmpjXSiq0yPoKKUcCRRJKV8FOgCJF9esAP9EfD7JvmwzU9ccYew3m2n1xiL6fbiSl+fuZmdGCT0bRPPu0OasfrYHvz3Rleeua0DrWmFYV2WgitChbxyJMy2NoHlzCEqwEzToNhg0wf+GC9jMLv6Yf4TSmCyKYo9zT5N7WDP9G4Kjomnasw9HjhxhwoQJrFy5kqZNm/Lwww+TlJR0ydrfNCGEkR2S+HbDMbadKL5k5z0XCoWCwYMHo1KpmPlHBp7hP8O9S/3DSSvfhQ+aIBY+S0hnFfomEZT8chjbjvLDM6awcNoMvIWDG9aSvrfCHFIAtHXrEj5qJCU/zcS+bVuVdnW+tR76IDWLp+7B6/ZLYzTSN+KVjq+wPms9L619CZ+sWmIjQPWozqvQKU1ZmxCiBlAA1L54JgX4p+DzSQ7klrI+rYD1hwvZcKSAIpv/LS4hTE+vhjG0T46gXe1wEsMrlq9yHi7Bne4Xl8PrIevB4SiVXmLvG4S48YOyzGCA9bPTcDs9zI+bzH3N7iN3xx5yDh+i+z0PMm/+L2zbto2wsDBGjBhBnZMF1y81T/ZNYeGuLF6YtZO5D3dCpbwyCrKEhIRw0003MX36dJYuXeovdTnsW8jb79c02vQlYuMkwhvfRl6NERRO34/SpEGbfDofo/UNg9mx+FdWfPMld7zxHqKSUNzIBx7EPP8Xsl57jdo//ljpxLHOqKbHnQ345bMdzPloK33u9oeeDqw7kDx7Hh9t+YhoQzT/avWvC39BrjGq4wjmCyFCgXeALfgjhgKqUAGqJKvEzgPfbil7863ug//PWFaeFJdrHk7Rc4OwHytBc319VLeWdwI5R8zsXZvFieRtmKLU3JYyjO+ffxJNzTos2bYLh8NB586d6dq1a4WhkpeKIJ2al29szIPTtjB17VHu7ZJ82Wz5Mw0bNqR169asXbuW5ORk6tat6y+mM+gz6PE8rPsMsXkqka455KomkP/VDqIfbIk6xp8fodbq6HzbSH4d/wH71qygYZeK4/6VJiMxzz1LxhP/ouiHHwgfXrlKaVLTSPrc3Yjl0/Yz/Y0/iG7ln6y+p8k9ZFuzmbJrCjGGGIY3rFrpNEDVVEdi4nUpZfFJqYlaQAMp5UsX37QAVysbDhdw4yerOZhTymsDG7PqmR6sfrYn7w5tzpBWCdV2Aq4sK479RZjax+CeMpLcXw9hapbIiRueKOcEpE+ycvoBlEbJ7xHf8UiLR9ixfDkn0FBgDCMsLIwxY8bQu3fvy+oETnFdk1h61I/i/UUHyCyuuojLpaZv375ERUXx888/Y7GcMSEbkgD9/w+e2I2ixyNEal9FOAvJn7AOb/FphdZGXXoQXbsOq77/Grer4roJAEH9+2Ps2IG8Dz/CU1Bp5DgAKW1jufWFNgRH6jmxSrJq+gF8HsnzbZ+nV81ejPtjHL8d/e28234tU53JYoMQ4iUhxBdSSicQLYS4dgN5A1SKlJIpa44wfNIGgnVqZj/UiZEdkqr94P8zlpXpCI0CY8bLZH23EaHREfvJN+WcAMC+9VnkHjWzMekX6kYlE5QexILVa/EZg7iuf3/uueceYmPPLmx/uRBC8NrAJvik5NV5uy+3OeXQaDQMGTIEh8PBnDlzztYRMoRD9+dQ/WsZkQ1X4HN4yf9wIb4i/8NcKBR0H3EPpQV5bPllTqXnEUIQ8+JL+BwOct9595x2hcYYuOXpVoSnwI5l6fz09iZK85y81eUtUqNTeX7V82zM3nhebb+Wqc4A5RTAiX+SGCAdeOOiWRTgqsTh9vLkjO28Om8P3etHMfvhTtSLCfrbx/MUO7Btz8Vo2kjJ74uw5WmJefE/qGPK1x9w2j2s+zkNRZyTg5pNtDvWjqVLl6K0lDCoVw/atW9fpWzE5SIx3MCjverx2+4cFu/JudzmlCMmJoZ+/fpx8OBBNmyoWEcIXTCake8R0TEXtyOUgg9mIdO3AZDYuBl1Wrdnw+wfsRZXHiaqTa5NxF13UTJ79jlrFwAo1QriWioY8EBTSgsdzPjvRo5tLuaTnp+QGJTIY0sf40BRICXp71CdO6SOlPJtwA0gpbTjDyMNEACA9CIbQyauZdbWDJ7oncLnI1oTrKtAj+AvYFlxFHw+tHkTyd0VhbFTJ0JuPlv1ZOO8I1hspewwLKBHVg9wScLNeSRpBM26dD8vGy4293VJJiXGxMtzd186kbpq0qZNG+rXr8+iRYvIyqokCU4IdDeNIKyXDqerAUUT5iM3+8tYdh1+F163i7UzplV5nsix96OqEUf2a68jPdW7BrWbR3Hbi22JTDSxeMoeNv2QwaddxqNX6Xlg8QNkW7P/UlsDVM8RuIQQevyTxAgh6uDvIQQIwNpD+dz4yWqO5dv4clRrHutdD0UlpQ6ri68wH+v6DPSKFeQdq4tQqol77dVy0gx2u50VS9awYtt8CqP+INoaTkqzFLo2TMGdcYxOw0act5TDxUatVPDm4KZkFNv5aPHBy21OOYQQ3HTTTRgMBmbOnImripoCxj4dCO4ehc3bDfOsTTD7IcIjw2jedwA7l/5O/vGjle6rMBiIef55nPv3U/Tdd9W2zxSmY9ATLWh9fRL71mez8uMTjGv8ETa3jbGLxlLirFiOO0DFVMcRvAz8CiQKIaYBS4BnLqpVAa54pJR8sfIwd365gUiTljkPd6JXw5hz73gurAVYPv8QKTUQqcO6I43op59CHR+Px+Nh79697Nq1i3fffZdlqxbhU7rZH3IATTcNt94whC1zf6JG/UYkNb86Smq3SQpnWOtEJq0+wt4s8+U2pxxGo5HBgweTn5/Pr7/+WuW2Qf3qY2wbQ6l3KJZNhfBlHzr06IDGoK+wklm5fXv3xtilC3kffYw7t+qKZmeiUCpod2MyAx9vgcvhYdOEfP5tepdj5mM8uvRRnN7A+2p1qU7U0CLgZmA08D3QWkq5/OKaFeBKxuby8OgP23hzwV76Norl54c6kRx1ARQhHSXIr4diKWmHJtpJ/nc/om/bFnOHDsybN493332X6dOnU1JSQr2ajQnNb0FJrIvMGhk83PFhdixaiKWokM7D7rziewNn8tx1DQjRq3nh5534fBWrAV8ukpOT6dy5M1u2bGH37sontoUQhA6sh65hOMWeB7Dnx6L/7nrad2rG0e1bOLJtM263m9wKHvRCCGL//QLS5arWxPGfSagfxrB/tyW+fhjHFjh5LP9tdmXu5b7f7yO9tOoyngH8VHcWrRvQC+gBdLl45gS40jleYOPm8WuZvyOTp/vVZ8KdLTFpL4BEg8sG392GOaMRPhlKztGVbK9Xl5+bNWXK1Kns2LGDevXqMXz4cNq37YBzfwyGMAO/G2fweMvH0UsNG2b/SM2mqSQ2bnb+9lxCwowaXhjQkK3Hi/lh49nFYi43PXr0ID4+nnnz5lFcXFzpdkIpCL+9AerEYAqcT+A09iD12DuYQo3Mnv4D77//PuPHj2fx4sX4fOUzgjVJSUTcdy/mefOwbvjjL9toCNZww0PN6HhLXeyHVNy3/7/kH7dwy9xbmHVw1mUvL3qlU53w0fHAWGAnsAu4Xwjx2cU2LMCVx4oDedz46WqyShxMGd2Gh3rUvTBv3h4XzBiJ+XAtjnivY45hAzPDFeytX5/ImBgGDx7MU089xS233EK9evUo2AeWQie/J3xDk6gmDKw7kK0L52E3l9Dp1jvP357LwC0t42mfHM5bC/eSV3plDWkolUpuueUWfD4fs2bNwuv1VrqtQqMkclQjlMEathcOZUbIY2TH1qdEYyBUq6RZs2asXr2aWbNm4fnT5HDEffehjo8n+/XXkO6/riMkFIIWfWpy89Ot0Cv13HL4cZoHteTltS/z6NJHybfn/+VjXitUp0fQDegnpZwipZwCDAC6X1SrAlxRZBbbefe3/Yye8gdxITrmPdyZ7vWjL8zBfV7krPsp2RtDgWcYSwy7KHIUEJeTQeuYcOKcZvI2rmbVN5NYPOkzfvnkIzI3Lsapmk/4oWMMOtyIpV9OYOO8mSS3bEONlAYXxq5LjBCCNwY1xe728uYvey63OWcRHh7O9ddfz/Hjx1m1alWl2zkcDjbt3spP2vUsYDPHS7V0qBNNnYx1+DYuZkCDIHr16sWuXbv45ptvsNlsZfsq9Hpi/v1vXIfSKPzm279ta0ztYAY80AyX1ctNJ8bydOtnWJu5lpvn3MziY4v/9nH/yVSnT78fqAkcO/k5Edhx0SwKcEWQa3awYGcW83ZksfmYPxZ8YGoN/u/mphg0F0itU0rkvCcwbw+i1DuUDWH7KLXZMGWk4VUpOb717CECp82N1yNxlFioZw2joGQfBfhr6Ha+fdSFsesyUTfaxNhudfhk6SGGtk6kU93Iy21SOZo3b05aWhorVqygdu3a1Kp1WoQ4NzeXjRs3sn37dlwuF/Hx8dzY9DoilznRlQThuyeF7z78mI2fPkWXUQ8SevPNzJ4zhy+//JI777yTsLAwAIJ69sDUvTv5n35K8PUDzsobqS5RNYPoeHNdVs84SOeG3ZlxY0eeX/U8Tyx/gpvq3MRzbZ8jSPP381z+aVTnjo4A9gohTt2VbYB1Qoi5AFLKmy6WcdcSi/bksOloIQ/1rHveMfh/l0Kri4W7spi3PZMNRwqREhrEBvF0v/rc0CyOWhEXsOaulMjf/0PJHyos3sEcjshinzUDU24mdw66jdjBZ+cMHN9dwLxPtnMseS1/JC5k/uD5hOnCLpxNVwAP9ajL3O2ZvDh7Fwsf64JOXXklr8vBgAEDOHHiBLNmzWLMmDEcO3aMP/74g6NHj6JUKmnSpAlt27YlPj4eAHtcAQVf70G7twYNO3Rm84bVNJ79Mk073kbQ8Ef4YcaPTJo0iTvuuKNsn5gX/83h628gd9w44t9//2/b2qxHAun7ilg76xBD6rZm2vXT+N/2/zFp5yT+yP6DNzq9Qbu4duc+0DVAdRzBOYvQBDg/HG4vz8/aSb7FyZxtmfz35ib0bHABQjGrQYnNzW+7s5m3I5O1aQV4fZI6UUYe7VmPG5vHUTf64rw1yVXvU7LSgcU7mNzgXJYVb0Xt9nB7aqsKnYDX4y84ow6TLI36iRdaPP+PcwIAOrWS1wc2YeTkP5iwPI0n+qRcbpPKodPpuOWWW5g8eTLvv/8+Xq+XkJAQevXqRcuWLTEay78s6BtGEDq4LsWzDtG66fUcMWxnfnEX7tg4laSCQ9wz/EOmzZzPlClTGDJkCA0aNECTkEDEmPvI/+RTQocOxfg3CwcJIeg1siE/vPEHv32xi1v/3YaHWzxM14Su/Hv1v7n393u5s+GdPNbyMXQq3YW4PFct1QkfXYF/eCgECAb2SylXnFoutoHXAj9uOkG+xclLNzQiWK/i7qmb+Nf0bRTbKk/iOR9KHW5+3prOPVM30vrNRTwzcwfHCmyM7ZbMwse6sPhf3XiiT8rFcwIbvqD4tzws3pvI1h5jQe4ypErN9XoDNcbcX+E+25eeoDjHxvKa06mhi2NIypCLYtuVQNeUKG5sXoMJy9PYcLhqQbbLQUJCAgMGDKBOnToMGzaMRx99lC5dupzlBE5hahtHUM9EXDuLuaHbI+QV2lluvAtObCBq1hDuHdyD6Ohopk+fXiZpEXHvvahr1vRnHFeRzHYudCY1fe9phDnfzorv9iOlpFlUM2bcOIPbG9zOt3u/Zdj8YewuuLI0ny411Ykauhf4A38uwRBgvRDivGsWB/Dj9vqYuOIwrWqFcXenJOY90plHetZlzvZM+nywkt92X7h0+SP5Vl6cvZM2by7mienb2Ztl5q5OtZn7cCdWPN2dp/s1oGFc8EWNwZfbZ1A89xhW7/Uck3tZkvErntBImlusNH/ppQrPbS12sumXo/hqmtlpWMfQsKEoFVfWkMmF5uUbG5EYrmfk5D9Yuu/K0iICaN26NXfccQcNGzZEWUUh+lME96mFoVUMyj1eunQbzvYtBznQ4h1wWTB9dyOjuyaRkpLCwoUL+e2330CtJvbFf+M6coSCqV+dl6016oXR5obaHPgjh/3r/feTXqXnhXYv8L/e/8PitnDnL3cyYfsEPL4rS+rjUlGdqKGngRZSytFSylFAK+DZi2vWtcOcbZlkFNt5qEcdhBBoVUqe7FufOQ91Isqk5f5vNvPwd1sosPz9kMLNx4oY+81mer63nBkb0xnYPJ6ZD3Rg9bM9eWFAQ5olhF6SBCy5dyFFM/Zg9fbjoGMLG7MX4Y1KJMxu54aXX0ZUUjJy7c+H8Hp9/Bj5KTfVuYlk3ZWj4X+xiDRpmXF/B1Jighjz9WbmbDu7POTVhBCCsMF1UUUbSChOJr5OI36fuZCSwTMgNBHN9GEMq11C27ZtWbduHT/++CPaDh0w9e5F/oQJWFasqLYWUUW0ui6JGvVCWfH9foqyrWXfd4zvyKybZtE3qS/jt43n8WWPX4DWXn1UxxGkA6VnfC4Frrysl6sQr08yfvkhGsYF0+NP4ZhN4kOY83An/tUnhd92Z9P3g5XM35FZ7cQYr0/y2+5sbpmwllsmrGXd4QIe6l6X1c/1YNyQZrSqFX7emkB/BZm2kqJvN2Pz9mJP6Tr22zZiMEbhUau5ZeQo1MHBFe6XdaiYAxtyyK67G7fJyhOtnrhkNl9uIkxavruvHa1qhfH49G18s/7YuXe6ghEqBeFDU/CVuujeaDhSSn6ZMg3vyF8g5ToUvz7LdZ7f6denN3v37uWrr74i6PHHUZpMnLh/LId69MQ0cyaO/X9dYVShEPS5uzEqtZLfJu3G4z6dCxGiDWFc13E8nPowK9JXsC132wVs9dVBdRxBBrBBCPGKEOJlYD1wSAjxLyFEoEbcefDb7mwO51nLegN/Rq1U8Givesx/pAvxYXoe/m4rD3y7hdxSRwVH8+Nwe/l2/TF6v7+C+7/ZTI7ZwSs3NmLd8z15ql99ooMu/aSYPL6JwilrsXm7sbNoJdmG4yQ5FGRGR9M5NZWExo0q3M93suCMKkgyN3gKD6U+RKT+ygqpvNgE6dR8dXdbetaP5qXZu/hs2aGrOktWkxiEqUsCnl1m+g9+hKxD+1n98yx/WczOTyC2TKHDwbe4deAAsrOz+XrBAsJ+nEH8xx+ha9YMw5KlHBk4kMODb6Zg6lQ8+dVPEjOFaek1uiEF6RbWzkw7a/2IRiMI1gQzdffUC9jiq4PqOII0YDYn1UeBOUAWEHRyCfA3kFLy2bJDJEcaua5JXJXb1o8NYtYDHXm2fwOW7s+l7wcrWZvpKfdAKLA4+XDxATq+tZQXZ+8iSKfi0ztasPyp7ozuVPvCxf7/RWTWHgq+WIHd04lthcuwJ7loVWhnS3w8scHBdBs4sNJ996zOJP+EhfW15pIUUZPbGtx2CS2/ctCplUwc0YpBqTV457f9TN/vvqqdQUifmqgi9Zj2akntOYBN82ZxZPsW6P0KDP4fnNhAo5VjGDWwBw6Hgy+/+oqi+vVJ/OxT8t4eR8yLLyKUSnLfGsfBbt05cf9YzAsX4nOee/g0qWkkzXslsnN5Ooe35ZVbZ1AbGFZ/GEuPL+VoydGL0/grlHM+HaSUr14KQ641lh/IY3emmbeHNENZjSEalVLBA93r0KdRDM/8tJ3PdxST5trEA93r8PPWDH7anI7T46N3w2ju65JM29rhl114TeYeJn/8YpzutmwtWIKhQyzNDx1noVDg1em4ZcSISicaHRY36+ekQQ0rm0xLmdxuMirF5XFmVwJqpYL3b00lWK/m63XHeG7mTv57c9Nq/XauNIRaSdjQFPImbic1pRfpNfew8LP3Gfn2J5ia3wZhtWH6cBLn3849/T/ju9VH+eqrrxgwYADSZCL8hhsIv3M4zkOHKJkzl5K5c7E8sQJFUBDB111HyKCB6Fu0qPT332FQHTIPFrP0671E1QwiKPx0L/mOhnfw1e6v+GrPV7zc4eVLdUkuO9WJGooSQrwjhFgghFh6arkUxv2TGb/sEDVCdAxKjf9L+9WNNvHj2I7c3kDDmrR8hkxcx4+b0hncIp7F/+rKpFFtaJcccdmdgHPfCbI/XoPT3YLNBYuIH9yC5i7YuWUrmQnx9OrTh6ioqEr33zD3MC67h5+jJ3Jd8nW0iW1zCa2/MlEoBK/e1Jib6qiZvukEj3y/Baenct2fKxltrWBMHWtg/yOX6255FLfLyYJP38Pn80LNdnDfUghNJGLuSO5NVZKcnMz8+fM5cOBAmUaRtm5dop/8F3WXLqHm5C8J6tmDknnzOHbHcNL69adk/i8VnlupVtD33sb4vJJFX+7G5z0tgBepj+Smujcx99Dca0qbqDpDQ9OAfUBt4FXgKBAoDnoebDhcwMajRdzfrQ4a1V8vo6hUCPolqfn1sa68ObgJq5/rwVu3NLtocf9/BXe2lez/bSZv6lEsjgg2FPxC4zEDqONVcOzzz9nWri01a9akffv2lR4j70Qpu1dlUJCchjkojydbPXkJW3BlI4Tg5noaXry+IQt2ZnPvV5uuuOpm1SW4XxLKCB3elSX0GjGWE7t3sGHWDP/K0Jpw92+Qch36Jc9zR+0iOnXqRGZmJl9//TUWi6XsOEKpxNixIzXGjSNl9Sri3vo/lCEhZD71FPkTJlQ4jBYabaD78PpkpZWw8Zej5daNajQKt8/Nd3urXyjnaqc6T6EIKeWXgPtkEtndQOV3cYBz8tnyNCJNGoa1STyv4yRFGhnertZlmQD+M55CB5mTN5P94WZshwrZUbiMtJDFdH/5IeKkgowX/s3m3n2QGg2DBg2qtI6wlJJV0w+g0MPssC8Y23wsMcZLk2V9NXFvl2TeHtKMNYfyuXPSBkpsf12t83Kj0CgJv6Ue3kIH8fZkGnbpwbqfvufEnp3+DbQm/yRywxtRLH6ZPikmGjZsSGZmJp9//nmFJTQVRiOhgwaRNO1bQgYOJO+jj8l66aUK1UxT2sbSoGMcmxYeJX1fYdn3SSFJ9KrZix/2/4DNbTtrv38i1XEEp65glhDieiFECyDhItr0j2ZHejErD+RxT+fkK05H5u/gKXVxYuoGMt/egGtfCQfMf3DC8jKdb5T0f+l9TE4X6Q8/wrFWrcg06Onbty/h4eGVHm/v2iyyDpWwNel3aoTHMKLhiEvYmquLW1snMn54S3ZlmBn2+boqo8muVLTJoRg7xGFdl0nXPiMIjY1lwcfvYDOfLDWpUMDAzyCsFvw4moQwLXff7c9n/fLLL9m5c2eFxxUaDXFv/R+RDz5AyU8zOfHAg3jP6EWcouuwFEKjDSyavAeb+XQG8+gmoyl1lTLz4MwL3+grkOo4gjeEECHAk8BTwCTg2gnmvsCMX5ZGsE7Fne1rXm5TzguP3cXhqatIf3M1cq+DE4795CWuo2PE/9GtTxOCb/gPnvx8Toy5H2twMFvq1iE5OZnWrVtXeszcY2ZW/nAAUcPO2uAFPN/2edTKyyPAd7XQv0kck0e34XihjaET13Gi8Op7gw3pXxtlqBbLvONc//Cz2EvN/Dr+A+Sp4jW6ELj1a3AU02jPe9SIjWHMmDHUqFGDmTNnVljoBvzDaFGPPkrcG69jXbeOY3eOwJ1TvkKaWquk332Ncdo8LPlqL/JkhbjmUc1pGd2Sb/Z8g9t39fW2/irV0RqaL6UskVLuklL2kFK2klLOvRTG/dM4mFPKr7uzGd0xiaDLpDB6vrhsdvZPXsSxV5aj2QcF3kxKOthp+1hT2pR8jL52G1wtnyP3vfc4fMONuAsL2TJoIAqlkoEDB1Y6iW0vdbHwfzvRGBV8n/AOvWv1omN8x0vcuquTzvUimXZvO4ptboZMXMumo4Xn3ukKQqFVEnZLPTz5drQHBN1G3MORrZvY/Mvs0xvFNoXr3yeseAcs+y8mk4mRI0fSunVrVq9ezffff4/DUXGPKHTIEBInTsR9/DhHb7sNx4HyCWmRCUF0GlKX47sL2LbkdK7sXU3uIsuaxW9Hf7sYzb6i+OszlQH+NhOWp6FXKxndqfblNuUvYys1s/3zORx5eSnGAzrswoKjm6DFuNtp2q0hqhkjsBRGc3xNDdKuu4GCKVMxtG1L3ksvkp6fz3XXXUdISEiFx/Z6ffz2xS7sZjc7Wy7EobHydJunL3ELr25a1Axjxv0dUArBkInrePi7LaQXXT29A13dMIxtY7GsyqBRw27UbdOBVd9/Rdah/ac3ajGcrNjesOpdOPAbKpWKG264geuvv560tDS++OIL8itJMDN16Uytad+C18uxO4ZjXb++3Pom3eKp3TySDXMPU1rodyhdE7qSHJLM1F1Tr+q8jeoQcASXiBOFNuZsz+SOdjUJN2outznVRvokJ37ZzJFXlxBxOBzUAtnLSKP/DqLudZ3x5aRT8OQg0n5UcmKBB+eBQ0Q++CB1ly5B+9KLrNi9m5SUFJo3b17pOdbOPETGgWL0PYtZbJ/Pk62fpIapxiVs5T+D+rFBLH6yG4/1qsfivTn0fG8Fb/+6D4vz6ogqChlQG2WwlqKZB+h77yMYw8L55aO3cVhPj+0frDfG3zuYNQaK/JIbbdq0YdSoUdjtdr744gsOHKhYgkLXsCFJ039AHRfH8fvGUDJnTtk6IQSdb60HEjbMOQyAQigY3Xg0+4v2sy5z3UVs+eXnojkCIcRkIUSuEGJXJeuFEOJjIcQhIcQOIUTLi2XLlcDEFWkoheC+LleHYJr0+LD+kc3x11ciVtlQKtQoe4WR8sZ1JPRugXPHDjKfeYZDva8jd60DdXID4j/8gLpLlxD58EMcLCjgq6++QqPRcOONN1Y6JLR/fRY7lqaT1CmYT21v0qlGJ4bVH3aJW/vPwaBR8USfFJY91Z3rm8Yxfnka3d9ZzvSNx/H6ruy3WoVO5R8iyrXjWl/I9Y8+gzk/j0X/+6Tsjdyn1PrnC6SEH0eBx59NXKtWLcaMGUN4eDjfffcdq1atqvAtXh0XR61p32Jo1YrMZ58jb/z4su2CI/Q075XA/g3Z5B4zA3B98vVE6aOYvHvyJboKlwdxri7PyYniV4AuJ79aAbwmpSw5x35dAQvwtZSySQXrBwCP4K+B3A74SEp5znJBrVu3lps2bWL58uV0794dALfbTXp6eqVjhJcbr0+SbXZg0CgJM1yY3oDD4UCnu/Bho1JKpNPrX3wSn/TiU/jQBvu15qXdjs9mKwvHU6h8KEzBCINfNM7n82G323G73SiVSgwGQ6XZw16PD5vZhVKlwKYy45EeovRR55SYvlhtv1r4K+13eXyU2N04PT40SkGIXo32Co9W81nd+FxelEEaXC47TqsVXVAQGp3+dNvddrDm+UNM9aej0KSU2O12XC4XWq0WvV5f8UmkxFtcjM9uR2EwoAwJASGQUmItdqJQKjAE++9Vi8uC2WUmSh91UYIXdDodCQkJqNXnPvaZz72/ihBis5SywmiN6uTsTwZ2Abee/DwCmIK/PkGlSClXCiGSqthkIH4nIfHXOAgVQsRJKc8ODj4H6enpBAUFkZSUdNkzaisiq9iODHGSEhuEVnVhbsLS0lKCgi5cApn0+vBZ3XgtbvBJvMKLzWVGHaQnKCIST14+3vx8pE6HIiQUpUmN0leICIqG4Hj/DWS1UlrqF6oNCgrCaDRW+vfweX0UZtkgDHyhdvIcKhKCEgjRVjyPcDHbfrXxV9svpaTE7ia7xIHL60OvUxMXortiHYL0Sdw5VoRCoIoyUJSdgdvpJCIhEbvDebrtJRlgzYXQGDCUdwZmsxmr1UpoaCgGg6Hi80iJJzcXT14eCoMBTWIiQqnEXuqitNBBSJQerUGN1+flQNEBgjRBJARd2Mh5KSUFBQWkp6dTu/blmzusjiOoI6W85YzPrwohtl2Ac8dTXs46/eR3ZzkCIcQYYAxATEwMy5cvx2KxsHz5cgBCQkKIiIgol214peD1SQqsPoxqgctu40LVHPN6vWUP3fPCB0qXfxESvEqJzVuC2+tAYwpGaHVYCgpQ5eYgdXp8IcFIpQeNIxuP2oiDILzFxTgcDnw+H0qlEp1Oh5Sy0r+HlBJXKfi8oAhyk+fIxaAwoHApKHWdu00XrO1XKX+n/Uogzghmp6DE6eZAjptgjSBEJ1BegS9PCi2obRJ7gQWlwYTb4aAwKwtNcMjptosg9EozyuLj2Fw+/7DRSYQQKJVKiouLcblclRfPMRgQERFQUID9UBre6CikUolQgrnAjtZjRwiBUWGkxFmCQRpQiwvbK9BoNBQXF5c9z6rizOfehaQ6jsAuhOgspVwNIIToBNgvwLkr+vVVOE4lpfwc+Bz8Q0Pdu3cv10Xau3cvwZXo2V9uss0OfNJBjXDTBU0gO9+3Yunx4S114bO5QYLCoMKr9lFakA0IwuPi0ej9b1KuoiJ8CiW62kkIrxMKDoLagDI8GZ/Fis1mQ6FQEBoail6vP2evrLTQgc/jwhShJcOdg0qhIjE0sdqicoEewd9vfwgQ6/WRU+Kg0ObC6hHEBGsIN2quuN60BwcqmxtdSBAapYKS3Bx8DjuhsWeo9Rr1kLcPozMXourDGcOKRqOR/Px8HA4HUVFRlTuDoCC8JhPuEydQFhSgqVMHrcpDSZ4dFToMQRp0Xh2WYgtOhZNwU+UJkX8XnU5HixYtzrnd+QwNVUV1JovHAp8JIY4KIY4CnwIVF5b9a6QDZ2osJACZF+C4Vwxen6TA4iRYp75isoilT+IpdODOtuKzuVEY1KhjjbiUToryMlEoVYTHJ5Y5AZ/DgddsRhkRjsALhYdBKHEYE8jLL8BqtWIwGIiKisJgMJzzYeKwuLCXutAHaSgRhbi8LuJN8de0suilRq1UkBBuoF60Ca1aQUaxnYO5FqxXWHSRMkQDCoG3yIHOFITOaMJls+A+U25aqYawJPA6ofi4fxL51CqlkrCwMHw+H0VFRVWGgCqDglDFxeFzOPBZLGj0KjQ6FdYSJz6vD7VSTYgmhGJn8T+ynGV1HIFZStkcaAY0k1K2oHzFsr/LXGDkyeih9kDJ35kfuJIpsDrx+iTRwdpzb3wJkD6JJ9/udwAmDepYI8pQLaVF+Zjz89DqjYTXSEB1xqSVJz8fFApU4WFQeBivlBSpYygs9scKREREEBoaWq26tW6nF3OhE7VWiTB5KLQXEq4Px6QxXbQ2B6gcvUZFcqSRWuEGvD5JWp6F9EIbHu/ZWbqXA6FUoArTIt3++augqCiEUFCSm3066xhAGwRBceAoBmv5PAKNRkNoaCgulwuz2Vzl+ZQhIQiVCk9BgX84KEyL9EmsJf4B3Qh9BD7po9BxdSXsVYfqOIKZAFJKs5Ty1JX86Vw7CSG+B9YB9YUQ6UKIe4QQY4UQY09usgA4DBwCvgAe/MvWX2G8+eabNG7cmGbNmpGamsoN/fpyW/+uNGvUgJCQEFJTU0lNTWXt2rUANG/enNtvv73cMUaPHk3t2rVJTU2lefPmLFmypMJzNWnSpNLkmYo45QSky4syXIcqVItEUpSVSVhsHH0HDaZ7/+to3aaN3z6fF5+1BG9xMSqjBoqPYHNDLhHYnW5SUlKIiooiKyuLJk3OCgorx7Zt25g/bz4leXYUCoEpQkOGJYMDOw/Qp10f7rrrrrJt//Wvf9GwYUOWLVtW7bYF+PsIIQgxaEiJCSIqSEuRzc2BnFIKra4rIolKoVcjtEq8pS4UQok2KBiPy4Wl6E8PY1MMaIPBnAEua7lVBoMBg8GA1WrFbq98VFsoFCjDw/FZLPgcDtQaJTqTGnupC4/bi06lw6QxUegoxCevDGd5oai0Py6EaAA0BkKEEGdGCAUD54xdk1Lefo71EniomnZWm1fn7WZPZtWe/6/SqEYwL9/YuMpt1q1bx/z589myZQtarZb9RzM4kW+mfZN6bFq/mnfffZf58+eXbb937158Ph8rV67EarViNBrL1r3zzjsMGTKEZcuWMWbMGA4ePFjhOV0uF/n5+ahUKjQaDWq1GpVKddbwzJ+dgNKgxuNyUZSdic/jQa/XsWPdEvA4+e33xTz/5KMsn/kFLpsal0aDSyVxuvV4UKFRa8oyhCtTEP0zW7duZe2q9bRt3o2wGAM5jiy8Pi9LZy/lwQcf5MEHT78DvP/++7Rt25bJkyfTo0ePah0/wPmjVAjiQvSEGjRkFtlJL7JRZFURH6a/7MOayiBNWU9WqdVhCA7BWlyE1mAoG8JECL8wXd5+KDwCUQ1AefrxFhISgtvtpri4GJVKVWmopio8HE9eHp6CQjTxNTCGaHFaPViLnYREGYjUR3K05CjFzmLCdRd+ruByUdWdXB+4AQgFbjxjaQncd9Etu8rIysoiMjISrVaLT0qkNoikmokYtRXfRN999x0jRoygb9++zJ1bsXRThw4dyMjIqPSc77//Pj169KBDhw5s2rSJvLw89u7dy4ABA2jSpAlt27Zly+YtePLtvPbW69z/wiP0GtCb2rVqMu6N15EeF2Eamz+m2pyNw24jp8SOMSSCHGI4IbVcf/fddO5/M91792fVqlVERERUehM5HA7uuusumjZtSosWLVi2bBkul4v/vPQffp4zkz43dObbH7+mxFlCpCESi9lCdHT0WceJjY2luLj43Bc9wAVHr1aSHGUkIcyA0+PlYI6FrBL7ZU1GE1olQuPvFSDBFBGJUq2mJC8Xn/eMwjwKlb+6mc8DxUfLzRcIIQgP91ftKywsrFCkDkCoVChDQ/EWFyM9HpQqfz6B0+bB5fBgUBnQq/QU2AuuiB7ThaLSHoGUcg4wRwjRQUp51eRXn+vN/a9gd3lOdpEhs9iOQoBCCBQKcfr/J5fO3Xvy6quvUS8lhS7detC5700MuaFvpZOn06dPZ9GiRezfv59PP/30rCEigF9//ZVBgwaVfR4wYACTJk2iRo0aSCkJDQ1l/fr1TJ06lalTp/Lpp5/yyiuv0KRJEyZNmsTq1asZMXIEi39fjFPpZc/+vcz+/msKC0vo0qcfY8feg0UdjN3hpFmfO3A6neTm5jJz5kw0QJjHw88//khkbCwFBQW0b9+eW2+99Sw7T/HZZ58BsHPnTvbt20ffvn3ZsWUXTz/+Arv2beez/31CWnEaGqWGKH0UXq+3wl6FQqHA6706K2/9ExBCEG7UEKxTkV3iIK/USbHNTY1QPcG6s3ucl8IeZbC/V6Bw+X8fIdExFGakU1qQT0j0GfUqNAYISYCSE34JipAaoPQnhp2aPC4oKKCoqKjMMfwZVUQE3qIiPEVFqKOi0AdrsFvcWIqchMUaiNBHkF6ajtllrlbey9VAddRHrxoncKGwOj0cybdyMNdCkc1NqdNDkc1FXqmLbLODzGI76UV2jhfaOFpg5XC+hWwbTJ27hOfefB+NKZRnH7qbmT98W+HxN27cSFRUFLVq1aJXr15s2bKFoqKisvVPP/00ycnJ3Hnnnbzwwgtl3y9YsKDMCUgpueGGGzAYDLRu3Zrjx49jMBjYuHEjY8eOJTY2lhu7X0dJUTFOhwOfz0v37t2RuiDCaiQQERnJkcx83D6BXq9nw4YN7N69m4ULF/L444+jLypCr9Xy6ptv0rx5c3r37k1GRgY5OTmVXrfVq1czYoS/fkCDBg2omViTrZt3o1QrUGuVZFoz8eEj3hSP1+tl9+7dJCScnaATHx/PgQMHrthM8WsF1cnoojpRJpQKwbECK8cKbLguQ3nMU70Clcufh6LR6TGGhWEvNZfTIgLAEAGmWP/kce5eKM3yJ60AWq2WkJAQnE5npbkYCp0OhcmEt6AQ6fOhUAiMoRo8Li9Oq4dgTTAapeYf1SsIxOydREqJxekht9SJ1elBpVAQG6wj3KRBdfKtVUqJBHw+iU+CT0r/csbnWgP6MLB/H7q2a8X3074pNxF6iu+//559+/aRlJQEgNlsZubMmdx7772Af47g5ptv5uOPP2bUqFFs3ry53P7Ok+FzYWFhZYkzp+q4SimRPom3wIHSBQiB12YGtwujTkUopfiCaqDRaAgLCyMmxv82ZTL5I3c6depEfm4uufn5LDlwgLy8PDZv3oxarSYpKanKh/Opm0JKicPixuP230T6IDVOrxOLy0KcMY7crFzatm1LnTp1KqxPUKdOHRo1akTNmjVZsmQJTZs2reZfMcDFwKhVUTfaRIHFRY7ZwYEcC9FBWiKDtCguUe/gVK9A5tvxWd0oTRpMYeG4bDbMebmotTqUKtWpjSE4zp9tbM6E0mywFkBQLBgiMBgMuFwuLBYLGo2mQrkOVUQErmPH8JrNqEJD0RnV2EvdWIqdaA0qInQRZFmzsHlsGNXGs/a/2rjm1Uf96fcuDuVaOJJvxeXxUSNET/3YIKKDdWVOAPw/RoUQqJQKNCoFOrUSg0aFSacm6/hh8jKOEW703yB7du2gVq1aZ53P5/Px448/smPHDo4ePcrRo0eZM2cO33//fbntFAoFjz32GD6fj99+O62HLqUse5OpKHW+S5cufDPpK6TTy+9rFxEWEkxoeAR6vQaD0oUhLAZTUFCZA/kze3fvxuvxEJ2YSKnNRnR0NGq1mmXLlnHs2LEqr2XXrl359ptvKcm1s23TLjIy02nTsTkGk4G84jxMGhNhujASExNJT08HqDBLcvv27Rw+fJiMjIyAE7hCUAhBVJCWlJgggnQqss0ODmSXkm124HRfmh6C0CrxKcFb6kZKiRAKgqNjkD4f5vzcs9/OVVoIrw0R9fz5BiUnIG8fwllKSEgIarWaoqIi3BWUsVSYTAiNBm9BwclzCUxhWnxeH7ZSF6G6UJQK5T+mwP05HYEQIkYI8aUQYuHJz42EEPdcfNMuLj4pKbK6OJBj4ViBDZ+UJIT5HUBkkBal4q+96VgsFkaNGkWjRo1o1qwZe/bs4ZVXXjlru5UrVxIfH098fHzZd127dmXPnj1n1WAVQvDiiy/y9ttvA/45giNHjuB2uxFCVBgd9O+Hn2Hzls206N2WV956ncmTJxMeE4XSYwWVDvShZ9lkt9vLQluHDRvG52++iTY2luHDh7Np0yZat27NtGnTaNCgQZXX4O5R92GzOOnYrQ1jH7ubr76eit6gI6VNCof3H+amrjcxY4a/OLlSqaRu3boUFp4dk11UVERSUlK1RLgCXFo0KgW1IowkRRjRqBTkmh3szynlUK6FAovzouYgCCHwagGvD5/N3wNWa7SYwiNwWq3YSyuJFtSaIDLFn3gmfVCYhqLoMGFB/gTIoqKisyaPhRCoIiLw2e34bP6QU41OhVavwlbiQnohXBeOxWXB4bn6hzCroz66EL/I3L+llM2FECpgq5TysryqVaQ+unfvXho2bFit/X0+eXK834nL60OnVhIdpCVEr77iUuz/jJSS/Px8fD4fer2+nKyGx+3GnWdF6VNi85aiDjVgCA5GIPzZwC4LRDUEVeXqp9Lnw3ngAEKrRfsXBLB8Xh+WIicOqxuVRklwpA7VyZDDXFsueba8CgXlHnzwQZo0aVIufBRgxowZzJw5k+nTp1d4voDExJXTfpfHR7HdRbHNjcPtRQhBkFZFmFFNkE59wYeOSs2l6BxKpE+ijvE/yKWUFGWdEqarWS4h8iykz590VpoN0otTG0mB06+PdWqotWxTrxfngQMojCY0Nf0iCB63l8JMKzqTGkOYmoNFBwnWBBMfFF/ZGatFdZ9hF0t9tDpDQ5FSyhmAD0BK6QGuupAOr0+SV+pgX04pGcV2VEoFSRFG6kWbCDVceTorFeF0OnG73ZhMpjJ7fV4vpQX5OLNKUPqUeNQeghNiMIaEIoTCP2HmNPszL6twAkBZyJwqKqraNrnsHgqzbDisbowhWsJiDWVOwO62k2fLI0QbUmF0xciRI5k6depZCWXjxo0rmy8JcGWjUSmIDtJRL9pEvWgTEUYNNreXYwU29maZSS+yYXV6LtykqvDnFeA53SsQQhAS5Z/rMufmVH0uoQBTNEQ3AmMUWmcBwVhwOBxYLOUnj4VSiTIsDK+5BJ/Ln12sUivRB2lwWNzgEYRqQylxlmB1Wys621VDdSaLrUKICE4Kwp2Sg7ioVl0ESuxuskocmLQqosP0GLWXPgzufDg1N3BK499isWC3lFKan4dBEYxaoUUEqzEEn/Gm6PNASTqo9WCs+uEupcSTl49Cr0dhPPfkl/RJLMVO7KX+egJhsUbUZ+RM2Nw2jpceR6VQEWeMq/AY7du3548//ij33fvvv3/Ocwe48hBCoNeo0GtUxIXosDg9FNncFNvcFFpdaFQKQg0awgzq85ZiFzolQn0y29jgv4+VajXBkVGU5OZgKynCGHqOZC+lyh9maozCaM7E5XBQWipRSxe64MjTm4WH48kvwFtYiCI2FgBjiAaH1R9OGhUVhdVt5bj5OEkhSehVldQ/uMKpjiN4Er8uUB0hxBogChhyUa26CIQa1OjUJgyaqzNQyuFw4Ha7CQ0N9Q/hmIuxOhwEayNQoUYZqkVp+tMbvznL7wzC6/gjKarAW1KCdLtQx9U8p4N0O72YC+x43T70QRqMoVoUZ8ypFDuKybRmolaoqRlU85yFZgL8sxBCEKTzDw15ff5aCMU2F7lmf05CcqQRo/bv34dleQUFdnw2D0qjfyhIZwrCabViKSxEozei1lZD40ulRYTXJtRpIb+giGKLnRiNGaHzD7sqNBqUIcF4C4tQRUUhlEoUSgXGEA2WIidep4ZawbU4XHKY4+bj1A6pjUZ59ZSiPUV18gg2A92AjvhVRxtLKXdcbMMuNAohrloncGZvQCmgIOMEXqeTUEN05U7AZQVbvr8noKm4MMeZx/fk5aHQalFUMfZ8qnpTUbYV6YPQaANB4boyJyClJMeaQ4YlA4PKQO2Q2mhVV4bgXoDLg1LhT05LjjLRIDYYtUKQXmTHd56Zyv5egQJf6WlNJCGEX5hO4ZeslpVkD1eEQmsiOCwCH0rsRVllJTABlBERSJ8X7xnZ7nqTBqVKgaXIgUqhIik4CYnkmPkYbt/ZUUhXOtWJGtoOPAM4pJS7pJRXXyuvchwOBx6PB7VCUJSZgUAQrItG4VVU7ASkD4pPgELtnxs4B77SUqTTiTIqqtLegMftpSjbhrXEidagJjzOgEZ/2rH6pI90Szr59nzCdGHUDK4ZkJYOUA6NSkFCmB6nx0u2+fwibcryCjw+fPbTstBKpYrgqBg8Lifm/Ly/NDeh1elRKZVYpB5ZeLgsCU1pMKDQ6/EUnE4gEwqBMVSL1+3DYXGjVWmpGVQTj8/DcfNxvL6raxq1OpPFNwEeYIYQYqMQ4ikhRM2LbNdVx5+VRzds2MDgwYNJTU2lbt26f1t9dPHixZSazQgpcZlL0AcFE6KLROkTKMN0ZzsB8Ndy9dj9Y6DnGJY51RsQGg33Pv44P/10trCs1+ujKNuG1+NDG6TglttvpGWrlmVRPW6vmyMlRzA7zcQYY4gzxtGzR0/q169PamoqDRs25PPPPz/nNezevTubNm0CICkpqUp11eLiYsaPH3/W96WlpXTq1InU1NQymYru3btz9OjRc57/SuO///1vuc+nEhCr4tNPP6Vu3boIIaq8fkqlsuz3eNNNN53zuK+88gpTp04Fyv+dqsPy5cvLfvMmnZqNK35jw5btWM6z/oHQqRBqBW++9ka5e2/7rl2YwsK57sabSKlXl2bNmtGgQQMefvjhchpWf76eQghMQUF4UOH0+KD4GPfecw979uzx9wpcLnxnZCNrDSrUWiXH0jJo164dndp24vj240z8aCL16tdj2nfTzqt9l5LqDA0dk1K+LaVsBdyBvy7BkYtu2VXEmcqjO3bsYPHixSQmJvLzzz+zbds2Jk2aRJcuXdi2bRvbtm2jY8eOZ6mPnsk777zDtm3b+OCDD7j//jF4vF6E101odCwGaUK6fbgNlI2NlsPj9IfGaUNAd3akzqkM5FP4rFZ8djuqyMiztj2FpdCJlJKwGAN7D+zC7Xazbds2hg0bht1j53DJYVxeFzWDaxKpjyzrVUybNo1t27axZs0ann32WVyuC1Wos3JHsHTpUuLj49m2bVu1aiRcyfzZEVSHTp06sXjx4gqTGc9Er9eX/R4rEz28UJzpCABW/r6Q44cPkF5kOy8xOyEEG/ZsYcGihWxcvaHcvWcKj0ClVvPJu++wbOEvbN3qVwUeOHBglcfU6/UoFAosynBwlDDpwzdp1KgRyuBghFqNp6Cg3PlNYTpWrFpGneR6bN26lX49+/HvZ//NG5+8wUeffnTVSFBUq+9+sgj9rcAw/KGjz1xEm86Phc9B9s4Le8zYpnDdW5WuPlN5FCCyiofqKU6pj+7du5e5c+ee1TPwej00TE4iMzMLgSQypgayyI30SrYd3c29D4wpE2fbtWsXUkrSDh3iofvvJi8vH0NwOF9MmkSDBg0YPXo04eHhbN26lZYtWzJixAjGjh2LzWajdlwcE197jdjQ0HLnT0pKYtSoUcydMxeHw8W0b74HXSx33nkneXl5pKamMvW7qWzZv4V3X34XhU9B27ZtmTBhQtl1OIXFYsFoNJY9mB944AE2btyI3W5nyJAhvPrqq1Veq/fff5/JkycDcO+993LPPffw3HPPkZaWRmpqKn369OGdd94B/A7iz4qm4eHhZef+/fffefnll3E6ndSpU4cpU6ZQUFBA7969WbduHeHh4XTr1o2XXnqJlJQU+vfvT7t27di6dSspKSl8/fXXGAwGlixZwlNPPYXH46FNmzZl7T513ebNm4fb7ebHH3+kQYMGWK1WHnnkEXbu3InH4+GVV15h4MCBTJ06lblz52Kz2UhLS2Pw4MG8/fbbPPfcc2WJfo0bN2batGlEVSOstzrlDv8OJpMJvf50RMy3337Lo48+itlsZvLkybRt25bCwkLuvvtuDh8+jMFg4PPPPyc4OJiJEyeiVCr59ttv+eijj5g3by4rVqxgwgfvMOmb7zEpPGW/xzp16jB58mTCwsLo3r07LVq0YPPmzeTl5fH111/z+uuvs3fvXoYNG8Ybb7xBTmEuERGRqJ3+fIIz7z2FSkVQRCQepxNrXh7/ffNNGjRsyPbt22nevHmF11MIgdFopLS0FJc2nL79buDdd96ldafuRLZsyYPDh/Pb+vXoDQbmzJlDVlYWb4x72f+3ap7KuvXrCNWH0iCpAcXFxWRZs4gzxl3xEYrVmSPYAMzCX/96qJSyrZTyvYtu2VVE3759OXHiBCkpKTz44IOsWLHinPtMnz6dYcOGcfvtt58lL+F2OihIP86vvy+if//+hASH4ityc+MdN5PrLKRtp/asWbOGbdu20b9/f5566ikAxtx3D5+8+iSb1y7n3ffeK5eodeDAARYvXsx7773HyJEjGTduHFvXradR7dr83+TJiApUQCMiIlg0fxV3j7yXzyZ+RHR0dFnvZtHaRfiCffz7kX/z44wf2bVrFx6PhwkTJpTtP3z4cJo1a0b9+vV56aWXyh7Gb775Jps2bWLHjh2sWLGCHTsqjz3YvHkzU6ZMYcOGDaxfv54vvviC7du389Zbb1GnTh22bdtW5gSAChVNZ82aRWJiIvn5+bzxxhssXryYLVu20Lp1a95//31q1arFs88+y9ixY3nvvfdo1KgRffv2BWD//v2MGTOGHTt2EBwczPjx43E4HIwePZrp06eXPdjPbHdkZCRbtmzhgQce4N133y1rc8+ePdm4cSPLli3j6aefLusJbtu2rexY06dP58SJE7z11ltlb+3TpvmHGDZu3Fh2jtTU1EqvWXVwOBy0bt2a9u3bM3v27HNu/9RTTzFs2LCyz1arlbVr1zJ+/HjuvvtuAF5++WVatGjBjh07+O9//8vIkSNJSkpi7NixPPHEE2zbto1u3bpx00038e6777Bs7R8ERydw54gRjBs3jh07dtC0adNyLwYajYaVK1cyduxYBg4cyHvvvceuXbuYOnUqBQUF9OvXj4zsDBp1bM6D9z9w1r2n1RsIi4vH5/NQkpNJ06ZN2LdvH1D59TQajQghsIogf95BaSa4HVhtNto2b87GhQvp2rUrX3zxBampqbzy6qsMvOFmVi5dV+YsIw2R4IMiRxF59ry//Pe51FSnRzBKSrnvoltyoajizf1iYTKZ2Lx5M6tWrWLZsmUMGzaMN19/nVGjR6NQKM7qHp6pPpqQkMDdd99NUVERoSEhuB0Onn3ueRRCkFdQwIJffkFVKkHCgoULUJwRqz9jxgy2bNnC77//jsVczNr1Gxg69jm/xgqnxekAhg4dilKppKSkhOLiYrp164br2DFGDB7Mnc8/X2G7+vW8Hp/XR8cubflt6S+Af1LY4XGQa8sl/3g+9ZLr0biBX/p71KhRfPbZZzz++OOAf2iodevW5OXl0bFjR/r370+tWrWYMWMGn3/+OR6Ph6ysLPbs2UOzZs0qtGH16tUMHjy4rHDPzTffzNq1ayuVw962bVuFiqYA69evZ8+ePXTq1AnwF/bp0KED4O9p/Pjjj0ycOJFt27aV7ZOYmFi2/Z133snHH39Mnz59qF27NikpKRW2++ab/XWcWrVqxaxZswB/T2Tu3LlljsHhcHD8+HEAevXqVVbsp1GjRhw7dozExDPLeVfczvPh+PHj1KhRg8OHD9OzZ0+aNm1KnTp1qr3/qR5s165dMZvNFBcXs3r1ambOnAlAz549KSgooKSk8pSjmCAdGTkFFBQW06lLF8B/LYcOHVq2zan5i6ZNm9K4cWNiY2PRarUkJydz4sQJUlNT2bRlM8vnLmL5mpUMGzaMt956i9GjR5cdQ6PXE14jkaKsDFx2e/maxyc583oqFIqyimZSpQMUUHgYjUbDjYMG4S0upmVqKouXLgVAqVSgVCtwWNwYgjSoNEoiIyMpzC8EG+SRh0qhuqIL2VRVoexOKeW3wAAhxIA/r5dSBjJ/zkCpVNK9e3e6dulCzZhopn//Pdf37A5AUWYGTpuNvGNHEAoFU774nL1791CzZiICgbmkhO+++Zphgwfhcbt449VXufnWW3nvvfd4/NHH2fDralSRehSa005g7969vPzyy6xcuRKlUomvJJPQ4CC2bdkEmrMTwox/ShLz2e14S0tRhIVV3CAJPrcCfZAGrV6Lx+PB4/OQbc3G7XMTbYjGpa/emH9UVBQtW7Zkw4YN+Hw+3n33XTZu3EhYWBijR4+ulqJpdejcuTMHDhxgy5YtlR6rT58+Z/XAAGw2W5kQnsViKZNw+HOX/pSkQVWcGhr7syrszJkzqV+/frltN2zYUG4o7cx9LiY1atQAIDk5me7du7N169a/5Aiqe12qGhJRKATxYf436KxiB4nhZ4c5n7o2CoWi3HVSKBRl10mlUtGjf2+6tu1Ms5bN+eaHaeUcAYBKoyEktgb79h8gPjIce6kZfVAwlWE0GrFarXi9PgiuAV4XarUKdUQEzqIisNvL/Z3UWiVCCCzFTkKj/aUxb7/9djo168THkz+mVddWqISKYG3l57ycVDU0dOrJEVTBEqg2fgb79+8vKydpKSpk5+7dJNetS0h0DEGRUeiDglCqVGj0BhRKFXPm/8LK335j8+pVbFy5nCkTxvPDDz/g83nR6A3og4KwWq3cf+8YpE+yZOvKck6gpKSEu+66i6+//to/zumyEqx0UjupFj/OWQD4Hzzbt28/y9aQkBDCwsJY/ssvCIWC7+fPp1u3buW2kT6/tLZC6Q+RA39P4NSksF6lJ8oQRcOGDTl69CiHDh0C4JtvvjnrWOB/yJ560JjNZoxGIyEhIeTk5LBw4cIqr23Xrl2ZPXs2NpsNq9XKzz//TMeOHQkKCjpLT3716tXcc889lUYotW/vH1I7Za/NZuPAgQMAPPvsswwfPpzXXnuN++47XYDv+PHjrFvnL8nx/fff07lzZxo0aFCtdp9Jv379+OSTT8oellu3bq1yewC1Wl2hMub5UlRUVNZbzM/PZ82aNTRq1AiA559/np9//vmcxzgVMbZ69WpCQkIICQmha9euZcNYy5cvJzIykuDg4LP+Vmd+jouKIDwsjCXLlmO2u6t1Lc/k1L2n0KsQKgVbN22hZs2zgxrdbjcvvvQStZKSaJ6aSkluDtbiwkqdukqlQq/X4/P58Kl0EBIPUqJwFaIwmfBZLGdVQDOEaHDZ/ZXMioqKmD59Ounp6dw5+E70aj3plnSsritTiqJSRyCl/N/J/y6WUr565gJUXFH9GuWU8mjDhg1p37kLaUeP8cZ//4s+KBhjSCj64BD/G0l0DDsOHCSxZk2atGlLVM0kopOSGXjb7Rw6chSP2q+p7rQ78Xq9GBV6XvzPi7z7vn9KZsCAAWRmZjJ79mxOnDjBfffd5w8BbNkaFGqmffcDX375Jc2bN6dx48bMmTOnQnunfPEFz73+Om2GDGH7jh385z//KbfeZj5ZEjDMnyzm8rpweBxIKYkzxpXlB+h0OqZMmcLQoUNp2rQpCoWCsWPHlh1n+PDhpKam0qpVK0aPHk2rVq1o3rw5LVq0oHHjxtx9991lwy6V0bJlS0aPHk3btm1p164d9957L82bNyciIoJOnTrRpEkTnn766bLt69evX6GiKfh7JlOnTuX222+nWbNmtG/fnn379rFixQo2btxY5gw0Gg1TpkwBoGHDhnz11Vc0a9aMwsJCHnjggXO2uyJeeukl3G43zZo1o0mTJrz00ktVbg8wZswYmjVrxvDhw89aV9kcwccff0xCQgLp6ek0a9asTLNp06ZNZf/fu3cvrVu3pnnz5vTo0YPnnnuuzBHs3LmT2JNSClURFhZGx44dGTt2LF9++SXgDzHdtGkTzZo147nnnuOrr74C4MYbb+Tnn38mNTWVVatWcdttt/HOO+/QokUL0tLS+Oabr/jwvy/TplULtm7detbvsSpO3XuNGzemVe/27N23j5efe7Fs/al5qiZNmmC1Wpkzdy5hsTXQmYIoLSigtCAfKWWF1/NUL9put4Mh0p+db8lBFaQDrxffn5y0PkiDQqnAUuQsC1owmUwohIKaQTXRKDUcLz2O3WOvdvsuGaeqXVW2AFuq892lWlq1aiWllHLZsmXyFHv27JGXG5/PJwsyTsicI2nS6/H87eN4bC6ZnZ4lszOypM/trXQ7s9ns/09pjpQZW6S0FVX7HM70dGnbtUv6XK6z1rmdHplztEQW59r89ng98kDhAbm3YK90epx/qS0Xi7K2V8D06dPl0KFDL8h5jhw5Ihs3bnxBjnUhqar950vfvn0v2rGrwub0yB3pxfJYvrXK7apqu8/nk64si3RlW6TP56vyOD6fT5rzc2XWoQOyKCtT+rwV32t5eXkyKyvLfzyfV8rc/dKXsU3a9++XjoMHzzqPrdQpc46WyJXL18i2bduWW+fyuOT+gv1yX8G+s+6l6j7Dznzu/VWATbKS52qlPQIhRAchxJNAlBDiX2csr+CPIApwBg6rBZfdjik8AsXfjF/32tzYCkvxCh9BIcEI1TmCujxOfxk+bXCFOQMV4XM68RYXowoLQ/xJrldKSWmhA6EQBIVrkVKSbknH7XOTGJR4VWio9O7dm6KiIpo3bx6oe/w3OLMI0qVEr1ESE6Q9KWn99/JNhBAogjRItw/pqPpvL4QgKCKKoIhIHFYLRVmZ+Cr4vZhMJnw+n79XIBQQXhuhUKLSuPE5HPhstnLb64xqJnz5CQ8+OJaHH3643Dq1Uk2t4FpIJEfNR/H4Lv5cUHWp6kmjwT8XoKL8/ICZq1B07mLi8/mwFOSj1mqrnICqCCklPocHT4kTT6EDm3D5xycNVasYCp8HCtIA4c8grkacsvT5cJ84gVAoUFYQQ223uHE7vQSFaVEoFWTbssvKS14t5fjCw8NZtGgR27dvP++EsqSkJHbt2nWBLAtwLqKCtBg0SjKL7bj/ZoEbhcE/V+A1O6sVaGAMDSMkJha300FhZjrePw33aLVaVCoVFovFfzylGsJro1S7EQrw/il7WwjBc889w5IFq7ll4DD+zJlSFDm2yut/X2oqjRqSUq4AVgghpkopq65ReI1jLSrE6/EQHB1TNqkJ/gkntVqNWq1GpVKVPZik24d0evE5vUint2zSya3x4fX4CAsKqToBxetGb88A6YWIumXhoufCnZWFz+FAU6sWij/1BrweH9Yip78Kk1FNkaOIQnsh4fpwwnSVRBYFCHABEUKQEGbgYK6FjCI7tSIMfzkR61SvwFvkQDq8CP25I+T1piAUSiXF2VkU5WQRmXB6slkIgclkori4GKfT6a9vrDEiwhJR2tPxlJbic7lQaE73ljV6FWqdEmuJE51JXU6ZF8CgNhCuC6fAXkCYNgyDumpRyEtBdfIItEKIz4GkM7eXUva8WEZdTXhcLqzmEhQGE4XFJUgpUavVKBQK3G53udBIgUCFAqVUoEKJSqlCbVCj1KkRGgVF+XmoVKoKi2mX4fVAwSEUPo/fCVQQKlqhncXFeIuKUEVGovyTwuipISGAoHAdNo+NLGsWJo2JWMO5Jw4DBLhQ6NRKYoN1ZJXYKba5CTP+9eFIhUGFr1SBp8iBSqVHoT53z1CrNxAUHoE5Pw+301lOwlqv12M2m7FYLKfvTUMEyjArniwz3pwMFImnK/oJITCF6ijKtmIzOzGFnn0/R+mjKHGWkGXNIjkk+S+38UJTHUfwIzARmMRVWJnsYiGlxOFwUFJUhE+rxycler0eo9GIWqU++cbvwevw+GPwhRev8OEVEiceHLj9Nd/soHQpUSqVeL3es8rlleOkE8DjxK6Pw6CtXhSvz+nEk5mJwmBA9Sf5BQCnzYPL7sEUpsWr8HCi5ARqhZoEU8IVnxof4J9HpEmD2e4ms8SOSatCfa65sjNwe33YXF5cWgXBdi+efAfqaD1Cee5jaI0myM/DYbWUcwSnegVmsxmXy4Xm5Nu/IjwBZdE+vGYrSmsJCuPpeTq1VonWoMZudpdJVp+JUqEk1hhLemk6Rc6iarfvYlEdR+CRUk4492bXBl6vF5vNhs1m809GSh86jYaQ8AgUUuC1uHBbrf7hHiFQaJXojBqE1q+ffirxxuv14na78Xg8uN1u3G43Wq228t6AzwOFh8DjgPBkvO7qPaBPzQsgBOqEhLOkJHxeH5ZCByqNEq1JxRHzEZBQMyRQUCbA5cE/RKTnYK6F9GI7SZUMEUkpcXp8WJ0ebC4vNpcXp+f0u2qxENSUSjz5dlRRBoSi6nvmVK6Pw1KKKSy83DkNBgOlpaVYLBbCw09mCAsFqvgkXIcP4zp+Am0dLUJz+v41hWopsLmxljgJjjh7zi9YE4xBbSDXlotP/r05kQtFdVztPCHEg0KIOCFE+Knlolt2heFyuSgqKiInJ+d0kRivB43PS2hQOG/+53UaN25Miw6tadO/E5sP72DYwyNo07sD9Vs0IiwqnBYtWpCamsq6detQqVS0b9+eMWPGEB4eTkxMDBEREdx1113lZKiXLFni10UvSAO3A8Jrg676E9LurGx8DgfqhIRy45insBQ58fkkQeFabhtxG/NmzSMhKAGtsuJ5B6fTSe/evUlNTa20uDz4pYoDMtTnx9+RoR4+fDj169enSZMm3H333edMSDt69GhZMfSpU6eeFelSFX/+Gxw9epTvvvuu2vtXhVatJH3/dm7q041mzf2/of+8/DJ2j+SjCV8QERlJo6bNqZ+Swo3XD2DlqjVoVQriQnS8/fyj5O7fglQpyJBepNuHJ9+OPEPpdO7cubz11tlyNDqTCa/bjcflT7h7+umnady4Mc8++ywZGRl06NCBIUNOx8oo9AbUCTWQXnAdPYw8ow6BUq0oq2/scZ09mCKEIM4Yh9fnxewyX5Dr9nepjiMYBTwNrAU2n1yqL0Z+FSOlxGazkZeXR35+Pg6Hg/9v77zDo6rSP/4502fSKyWUAEGkJQERFBcERVBcUbCgoIK4uqhr27X/VkVFRbGtYkMXURdREMUGKgqhitQQAqhIJwRIL5NMpp3fH3dmmEkmyQQSIOR+nmeembn31HtnzntP+74Wi4WEhARMWg16lyBSH8eqHzJY9P0i1q/8lazsLH5e9jMdUzqdsAz1a6+9pmxUKtwFjkqISQ55mSh45wUKA+YF/LfF2yud2KwOLJEGCp0FOFwOYkwxhBtqH3LavHlzgAx1Xagy1CfG8chQjx8/nt9++42tW7dSWVnJ+++/3wQlU2hKQwBw7x23Me2VN5i7eAVf/vwLfS+8jMNWN6WVDi4bNYYlK9eSmb2DJx9/lH/9/SYq8/aTEGFCp9Wg02roHB+GU6chV0ik3YWz0OZbSTRq1CgeeeSRGnmawsIRQmArLwfg3XffZdOmTUyfPp309HSWLVvG1q1b2bVrly+ONioWfUIMbrsbx75dAauVwqIMCI0iPREMk85ErDmWCkcF2wu2N9q1ayj1Dg1JKTvVF+Z04oV1L/Bb4Ylr5LndblwuF1JKUiJTeLDfg1gsFgQCZ5kNXbkGgy4ageBoeSEJbVoRlqg8qTeGDDXA+QP6k5NzUHE7GZMM5mhA2SU6adKkmjLUu3Zx1113kZeXh8VkYsajj3J2jx7c9vDDxMbF1ZChLispJ7ljJ96c9QZWlxWD1uAzAsHklGNjYwNkqBcsWMDevXuDyjH7o8pQnzwZ6pEjj8mC9e/f36efVBtarfbYUAdw4MABLr30Uvbs2cO4ceN48skng96D++67r8Y9WLlyJTt27CA9PZ0JEyZwxx13cMcdd7BhwwZ0Oh2vvPIKQ4cOZfbs2SxcuND32/3Xv/6F3W7n448/xmg0smjRImJjYzl69Chp3ZKp0GrQaQTn9UtH47STFG3iiMVAuxhltc2IYcO4/fbbmTlzJq+++ipRUVEYDAZ0Wg2dEsLYnWflqEuSaHPiKqpCG2Pkww8/ZMOGDcyYMYOJEycSGRnJhg0bOHz4ME88+giXD7+E8bdMwmq1MmDAAB599FHGjh2L2WwmLi6OwsLCAG0mXaskZFUlzlIbmtz96Noq/iA0Wg2WSAPW4irsNicGU80mN9GcyG/iN5799Vk+vuxjNCL0OZHGIhQZaosQ4t+elUMIIboKIf7a9EU7Nbjdbt/YvZTSt6Y/zGTBXWrHkWtFljlxSReaaD26VhYuvXIkBw42ngy1pyB8//lHXDViCER3BHOMT2KiX79+wWWob7+dN954gw3r1/Pc/fdz79Sp6Nspewyqy1BP+fczLPt+Db3Se/L4048Tpg/DrA8cx6wup+wvQ52ZmUlSUlKdcsyqDPWpk6F2OBTdnksvvbTOcO3bt/cppAKsW7fO15ObP38+GzZsCHoPNm/eXOMeTJs2zffbuP/++3nzzTcBRbZi7ty5TJgwwbeKLjs7m08++YR169bxf//3f1gsFjZv3sz555/PRx99BMD9999P7549eHjyzSz5Yg7RBjDrRY37C4oUiVde+j//+Q8DBw4E4JmnprBt7c9YtVAoJO4KB67Smj3T3NxcVq1axbfffsszz0/D5XTy+bzPfPfA2/sND1d6DOWeHoM/uvad0Zq0OArLcBUc9R23+ElPBNvboNVoiTREkpWXxde7mtZJUG2EMln8Acpw0EDP94MoK4m+rS+iEOJS4D8oO5Hfl1JOq3Y+Cvgf0MFTlpeklB+EXPogPNz/4eOK53A4KCsrw2azodFoiIiIwGKxIO1u3OV2HIc9wzdGQWlZAaboCHThysRQMBnq6lK4/tQmQx3jUQJ98MEHeeiBf3I0L5+1GT+CRXliW7RoUUA6ATLU5eWsWbOGa6+9FulwIF0uHFL65gUCZKiLiunbewCGMC3Drr2Y+ybdR7uIdggCJ9OCySn78/vvv9cpx6zKUJ86Geo777yTwYMHM8gj7xwql1xyCXFxcb56rFq1CiFEjXuwcuXKel1crlq1irvvvhuAs88+m44dO/pE/oYOHUpERAQRERFERUVxxRVXAIrctPfB4IknnmD8+PH8+OOPfPLJJ8ydO5dvvvkmaF61bR57+umnAbA73ezOK0frlkSV2XHbAnf1XnXVVWg0Gnr06MHRvLyA4SF/9Ho9SUlJbNq0iSFDhgRMKAuhQZ+cgvzzd+yHj2I0mtCER3r8GxsoK7BRVeHEFMSzoFlvJi0hjVc3vspFHS4i0nByVUpDMQRdpJRjhRA3AEgpK0UIawqFEFrgTeASFOOxXgjxtZTSfyDsLmC7lPIKIUQC8LsQYo6UsvEGk+vB5XJRVlZGRUWFsu08IkJxTIHAVVyF2+oAjbJJRROmozD3IFIHlujATVZeGeohQ4bQu3dvPvzww1oNwdy5c/ntt998k3+lpaUsWLDAIwommf7EA4y55Dxe/2QxEybfy8aNG2ukUUOG2u0mOjqajcuXYz9wAF18PHo/8TDvn1jKY8qihdojuKUbg8YQ1NF8MDllf0LZuQmqDLU375MlQ/3UU0+Rl5fHu+++W3/gahxPfWujrnjVJaX95ab969+lSxfuuOMObrvtNhISEijwcxXpz+bNm+nevXut+Rl0Gjp7hom0bnBXOJHOYyt1/MsjpcRoCcNmLQuWFJMnT+aKK64gOzvbJ07oRej0GDomU7VnL/b9+zGkdEVjMGIKU5aSWourMJp1NVYwCQSPDXiM67+9nrcz3z7uB9rjJZTBKLsQwgxIACFEFyD4zEcg/YE/pZS7PQ37p0B1h6ESiPAYlnCgEDgpAhxut5vS0lKOHDlCRUUFYWFhJCYmKg2Aw43jaAVuqwNNuAF96zB0UUYqrWU47XYi4uIDuqf+MtSgPK3V5jPW7XYzf/58srKy2Lt3L3v37uWrr75SGicpocoKjgo00R2498H/w+1219B/qSFDDURGRtIpOZlPZ81CY7agTUgIKkOtkyaiIqNZkfkzla5KMr7K8K0aaSihyjGrMtQnT4b6/fff54cffmDu3LkBv9F169Zx88031xt/yZIlFBYWUllZycKFC7nggguC3oNBgwbVKS8NBMhS//HHH+zfv7+GIayL7777zne9du7ciVarJbqaS1WA5cuXM3PmzID7FgyDTkunhDCOaiR2wG1z1ugZeDGFh+N2Bt829cYbb/Dyyy/zwgsvBPfBYA7HkNQKJDj27EK6XIoLzBgjLqebyvLg97RHXA+u63Ydc3+byx9Ff9RZl8YmlB7Bk8D3QHshxBzgAmBiCPGSgAN+3w8CA6qFmQF8DRxC0TEaK2XNBbVCiNuB2wFatWpFRkYG5eXlZGRkAIrGfvVGoTaklDgcDp8eu06nw2g0otFoqLBWoLWBzg5SA44wkFo7WO1It4vKgny0BiN2lxuHX35HjhzhwQcfpKSkBJ1OR+fOnXn99dd9ZaqoqMDpdFJWVsbKlStp3bo1kZGRvvN9+vRh27Zt7M9eAy47dn0EZdIE5eX861//4vnnn2fgwIFcffXVzJgxg6VLl3LgwAFuvfVWXxlWr1rF+1Oncu+TTzLtv//F4XRy9dVX07lzZxwOB5WVlRQXlmIvg9f+8zoPPHYf9ko7XTp14a233qKsrMwXrqysDCkl5eXlGI1Gj4OOYz0nb10A3nzzTa6++mqcTid9+/Zl/PjxlJWV4XK5uOGGGzCbzVRVVXHDDTf4hlJ69epF9+7dSU5OZsCAAdhsNl8cq9UakH/Xrl254YYb6NevHwA333wzvXr1QqvV0r9/f3r06MEll1zC1KlTAejYsSObNm0K+nswmUy89dZbXHfddb4VTI8//ji7du1i7dq1LFmyBK1Wy2effcbbb7/NoEGD6NatG++//z633XYbXbp0YerUqTgcjlrrXdt1806u9urVCyklHTp0YP78+dhsNux2u6+8TqeTiooKysrKmDhxIr169SItLc0n9QxKLzY1NZXVq1fXqOPkyZNp3749AwYof7UrrriCRx55hN9//x2dTlfn/8Rms3Heeedxww03sHv3bq699lpfw139HqSkpAAE3IMnn3wSIQS9e/dm3Lhxvknlnj17otPpeOutt7Db7TXq7H/N/M/NmjWLe++9F4vFgk6n47333vOV89NPP2XFihVUVFTQsWNHPv74Y9q1a1ejflOnTqVv374Bk+iJZigWblyAI78Sh/3Y796L3e329Yaqp5mfn0/Xrl1xOhW/A3p9zaEeNCb00WbcRZXYdu/E2aotEtDooLzYhlPaAnoFNpuNjIwM+rj68K34lod/eJh7Wt1To4fm3+41KrXJkvq/gDjgcuCvQHyIca5FmRfwfr8JeKNamGuAVwEBpAB7gMi60j1eGWq32y2tVqs8fPiwzMnJkXl5ebKq6pgUrKvKKe255bLqQKl0FFZKtytQXrb4yGF5eNdO6ahqAilmt1vKwr2KnHRpbkhRqsvxVuXkyIqtW6WzpCRoeKfTJfMOlMojB4rltrxt8mDZwXqlek9XVBnqhstQP/DAA3LLli1NUJqTS2NJcFfanfK3nBJZfqBUVuWUSZe9pnR80eFceWTProD/idvtlj179pTbtm2Tubm5Mi8vr/ZM3G7p2P+7rNi6VdoP7JVSSmm3KTLvZYWVAUH927B5v8+TvWb3kt/t+q5GkiddhtqLEGI0yu7i76SU3wJOIcRVIdiYg4D/jFc7lCd/f24BvvCU80+PITg7hLQbTEVFBcXFxQghiI2NJS4uDoPBoOzyLa3CebRCWSUUb0YXYwqw1nabjcqyUixR0eiCbMo6IaSE4v1QWQgRrZVXA3GVlOAq9OwXiKw5ySSlpCy/ErdLUmg4QqQxkjZhbc5I+QhVhjo406dPr3VCviVi0mvpmBDGIY3E5ZbKhjNn4GCEKTwct8uFvVKRmv799999Gz27detGeHg4drudClstI+VCoEvqgs4scBaX4cw7it6oxRSmp6LMgcsZfDfxmJQx9IzrycsbXsbqODkezUKZI3hSSunzQC2lLEYZLqqP9UBXIUQnIYQBuB5lGMif/cDFAEKIVkA3YHcIaTcYs9lMdHS0shnMZEIIgdvhwplXiavUjsaiQ59oQVNtna/SiOah0ekIq82/7/FSwwi0aXAS7qoqHDk5aMzmoDpCANbSKuw2F2XGImLDo0kKTzola5VPBqoMtUqomPRa2sWHkaORuF0SR34l0k/+2mi2oNFosJWX43C5SerYmaWr1zH9zffZV1jJwTIXbglHCorZeaSMo2U27NXnFTRadB26oNVLHEeO4iotJSzKCFIqngCDoNVoeWzAYxytPMq7Wxo+4X88hDJHEKzFCGUjmlMI8Q/gB5Tlo7OklNuEEJM9598BngFmCyG2ogwPPSylrF1X4ATQaDRYLBZv2XCXO3CVVoEQaGNNaC1BxvmAyrJSHFU2ohJboWlM7R1/IxB+fEYgQEeoffsaOkIAFZU2rMV27LoK4qKjiDZFN0LhVVTODMwGLUnxFg7lVZDkdGMvsFEVocfmdFHlcCO0RlzlZey3G/FOC2uFwKjXEGbUo3OZ0DhsuJEcLrFxuMSGxaAjyqwnyqzHoNMg9Cb07dsj9x3AcWA/hi4pmML02ModhEUpewyqk5qQyuiU0Xy8/WOu6npVkyuUhmIINgghXkFZCiqBu1H2FdSLlHIRsKjasXf8Ph8Chodc2kZAOt04i2zIKhfCpEMXY6xVmbCqwkp5YQEGkxlTeETQMMdXiGpGILLhRgApcRw8qPgX6NAhqI6QtaqC0rwqEBATH0G4sXk4l1FROZmYDTpaJ1jIz6sgwe7iaIGDCiQ6rYYwvRmdo5LWZjCFhWHSadFphW9Y1ek0cPSojQQztI+LoLjSQUmFg9ySSnJLKgkz6Iiy6IkyR6JvE4c9pwD7nt2Yk1OwWR1UljkIiw6u63XfOffx0/6feP7X55l5ycwmHcoNZXzgbsAOfIaykcyGsv6/WSGlxGW14zhSgbS70caY0MWZghoBp91OUe4hinIPodFoiUxIbLybICWU+PcEGj4nIN1utPn5uEpL0bduE3ReoKSqlML8MjRSS2S8STUCKip1YDHoiEsIQ2oE7fU6erSJpEebSDq0jkWj1aJ32ogw6dHrNAFtgXfVYUVFBXqthsQIE11bRdCtVQStIk24pORQcSW/5Zay1xGJiDEhXW7cB/diMOmoKLPjdtdcggoQa4rlH+n/YG3uWn7a/1OT1j+UIR4rUFOdqZnhrlB0RoRRq0wGB9E4d7tdWIuKqCgpBiGIiIvHEhWFaKzxdCmh5ABUFEJ4K8UINNDASClx5OQgKirQt26NLj6uxvkCWwElJVYinDGYo/SE1eP2UkVFBUwGLa4IA66SKjRON2iVRt8UFk5leRlutzuovIXFYqGoqAibzYbZrPzXjHotrfRaWkWasDlcvp7CTnc8XcIP4S63Y7AXYndHYqtlXwHAdd2uY8HOBby4/kX+kvSXJqt7KKuGzhJCzBRC/CiEWOp9NVmJmgiNWaf0AuLNNYyAlJLKslLyD+zDWlyEKTyC+PYdCYuOCdkIPPvss/Ts2ZPU1FTS09P59ddfGT16NOnp6aSkpBAVFUV6ai/SL7iENdv2Q0Qb0tLTa4jNTZw4saYMtV85HQcP4iopwR0dg66auJ2UklxrLvllhYRXxaA3aQmPqsPbWTUmTpzI559/XmcYVYb65HE8MtQzZswgJSUFIUSd18/L6SpDDYokyIABA3y/oSlTpvjKmZCQQJ8+fejatSsjRoxgzZo1vngTJ06sd629lJJ77rmHlJQUUlNTfbvRNWF60AqfHtHEiRNJPbc/F1/+V/qkp/ukPcrKykhLS/NdO41GQ0U1R/ZevF7XzmoVTpfECMqi24MeNKVF6IWNiuIKpMMG7pqriHQaHY8NeIzD1sO8v7XplGRDaeXmA5uBf6PIUXtfzQqhEWjD9DWGeBw2xWl1ydEjaHV6YpPaE5XYCq0ulOkThV9++YVvv/2WTZs2kZWVxU8//UT79u2PyVC/9x6DzutH5g//I/OXZQwcNoodv/0Wugw1x3oCrpISdK1a4Y4KHA5yuV3sL9tPsa2YGHsrtFpBZLy5Rn1PVL5AlaE+eRyPDPUFF1zATz/9VOvO9sakqQ3BhAkTmDlzJpmZmWRnZwfoS40dO5bNmzezc+dOHnnkEcaMGcOOHTtCTnvx4sXs3LmTnTt3MnPmTO644w7A006EG3weBkH5Py5d/B3Lf/zBJ/YXERHBli1bMJlMrFmzBovFQlVVVZ3/LyEEZoOOxOhIRJuOSCnAWYFbanCWl8IbfWD5dCgJVIw9p9U5/LXzX/kg+wPyHHkh17EhnHEeyg4/9xxVO+qXoZZS4nI6cLtcgECr16PRaqkpMwXG7mfT+rHHak0rNzeX+Ph4n15JgAy1lGA9Ci67ZzioDQgRmgz1+eeTk5NzzAgUF6NLTGTLvn01ZKh3Fik/6ukPv0xBXj4RkeG8/9/3Ofvss5k4cSKxsbE1ZKgrKiro0qULs2bN8gneeVFlqJunDHWfPn3qDePP6S5D3aZNG185e/ToEXRn9NChQ4PKUNfFV199xc0334wQgvPOO4/i4mJyc3Np06YNmjA9rjK7r1egDA9FUFlagtvlQuP3gNG6dWuKi4uxWCyUl5dTUVFBZJA5u+qYIiOwWSzobZVUhklsRCCjOiKWTYVlz0KXi6DvTdBtJOiM/POcf7J0/1KWli7lWq6tN/2G0uI8lEnA5XTiqLIpN1WnQ28yotVqOd7p4OHDh3PgQBAZau+cgK0UdEafEYAQZKiB77//nquuugpHziFcxcWMue8+8pzOABnqYcOHMekfk3C4HEx74AWee2I6q1es5eVXXubOO+/0pVVdhvqFF14gKyuL3r1719oQqzLUzVeGOlROdxnqbt26MXr0aN599906xQlrk6F+4okn+PrrmtLOOTk5AQqv7dq1IycnB/D0CiKUXoF0Sf7v//6PC4ZexOPPPEtpUWFAOt6HMf9JYxmiSJ8+MRGt24UWO7gFr/A08p5MuPAhyPsd5k+El8+GxY+QUHqEWSNmcXXs1SGl3VBC6RFM8Lz7DwdJoGkXth4ndT25V1VYKSvIx2m3Y7RYiIhLaJSdwkFlqJ9/nomjh0FFAZhjQGfyGYGQZKgfeoijR4+y8quvcBUXoUtIYPFPgSsHPvrkI35Z/wsfLPiAOBnPul9/5bZ/TPA5yvbqKUE1GeriYp9I2oQJE7j22uBPGKoMdfOVoT5ezlQZ6lDC+w+jensFzzz8JO17dqKqqooJ48fzwgsv8rzfg0dSUhJZWVlcd911QSeN60ITFobGYiHKVogUkL8+j3+ZYdrVj2C48GHYnQGbP4YN/4Vf36Znm3Rk7AhgWL1pN5QzzkNZbVSWllKSdwSdXk9M67YYwxp3OWWADHWvXnz433eZOCIdwhPBUhwQtm4ZamVMcvTo0bw6dSqT7r6bdcuW1dg1nL09m6emPMUn331CSmwKObvyiYyMInNzJlp9zY5e2HHUV5Whbp4y1CfCmSpDXZ127dpx4MAxTcyDBw/Stm1b33dvr6C1OwFpd2MymZhw8828+p/XAoaHJkyYwIABA1i/fj3ff/+9b9I4FEMghECXkIB93z6MOjftXFo+WZ/LpLIq3r6xLxEpF0PKxcoqw6x5sPljTLYm2W9b+9CQEOIiz/uYYK8mKU0TYgwLIyIugbh2HRrdCATIULtdZP66go5t4hQjENE2YIlonTLUHqSUuI8c4c4xY5BaLT9v3hzwBy0uLmbiLRN57s3nSOuURlWpC4sxjE6dO/HFwgW+NILJUEdFRRETE8PKlSuB0CSUa0OVoT79ZKhrQ5WhDmTUqFF89NFHSClZu3YtUVFRvvkIL5owPbl5R3CV2ZFS8v2SJZzdtSs267GZxDfffJMHHniAH374ASFESJPGAXmEh6Mxm9FUlmMK0zExNpa1uwu47t21HCn1PCBZYuG8yTB5FQfbXR5yHRtCXXME3l/2FUFezc5VpUarJSw6OqgMw4lSXl7OhAkT6NG9G6m9urN9+zamPPF4DSMAsGLFCpKSkkhKSvIdGzx4MNu3byc3NxcAV3ExzsJC9AkJ/PvJJ31j4F5XlR/P+5icAzlMfWAqA/oO4LwL+mMONzB37if897//JS0tjZ49e/LVV18FLe+HH37Igw8+SGpqKpmZmTzxxBPHVW+TycQHH3zAtddeS+/evdFoNL5VTqDMEaSnp3POOecwceJEzjnnHNLS0ujTpw89e/Zk0qRJvmGX2ujbty8TJ06kf//+DBgwgL/97W+kpaURFxfHBRdcQK9evXjwwWOjlt26daOwsDBoWgkJCcyePZsbbriB1NRUzjvvPH777TeWL1/O+vXrfcbAYDD4HI50796dDz/8kNTUVAoLC7njjjvqrXcwHn/8cRwOB6mpqfTq1YvHH3+83ut7++23k5qayvjx42ucq22O4PXXX6ddu3YcPHiQ1NRUXy9z//79IT2l/uUvf+Gmm24iPT2dq6++mn79+gW9B3369KlxD1JTU9HpdKSlpfHqq69y55134nK56N27N2PHjmX27Nk1FhLUxccff+xbgnzTTTcxZ84c3zzTZ599Rnp6OmeddRbPPfccCxYsCNojqG2OYOTIkXTu3JmUlBRuu+22gNVP3v+Z0Agm3nsbff7Sj969elNYXMw/77s3wBAUFRXRtWtX33evjE1tS0mr4+0V4HLStU059v1W3vxrb/YXWBnz1hr+PFrmHxhEE62Eq02W9HR9Ha8MdZNir5Ay7w9FRvrob1JWlR9XMm63W9oPHVJkaw8dCioTXW4vl9l52XJ3wW7psDtl3v5SWZBTVkM2+0xGlaFWZahPFm6XW1bllEl7XoWSf0G+zP3zD+l0OKSUUl522WVy0aJFAXHy8/Nlbm5uyDLvbrdbZmVkyO2XXSXfuXuZXPLBNrn1YLHsN3WJTJ3yg1y3p8AX9pTJUKvUgduprPnN+w0clRDVHuLPAkPDh56klDiPHMFZUIAuLg5d69Y19wC4nRwsO4hRYyTSHkvhIStSouwX0BzvmqczC1WGOjiqDPXxoewr0CNtTtx2F6awcADyD+eSlpYGKL0ofywWC263u865r4A8hEATEQG7fyMlyc7OdUfoaDbyxR0DiQs3MP79X1m8NbdxK1YN1RAcD1Iqq4GO7gBrHljiILEHhMU3WDLCiys/H2d+PrrY2KBGQEpJTlkO+iozUdZEXFUCU7ie2LZh6AzNe+NUY6LKUKs0NppwA2iU3cY6gwGdwYBeI9iyZQuLFi3yLSzwYjKZ6txpHDQPkwlDShda/zIbgMyf9tM+1sKCyQPpnRTFnZ9sYtaqPY1ZrcD8myzlMxVHBeTvVNRDtQalBxDdAbSh70SujnS5cObloY2IQNempsMYKSX5xYUYSiIIt0ejN+gwRkJknNm3VFRFRaVp8O8VSIcbU1g49spKXM7gE/nHM2mMEMT/fTKa3zaT3M7F9lWHsJU7iAkzMOdvAxjeoxVPf7udr/5svN35/oSiNXStECLC8/nfQogvhBB9m6Q0TYndCgV/KkM51jxlk5fTrjzdh4JvGOh3cFWd0DBQdZwFBUi3G11iTZVTR5WLgsPlyFI9Go2GqEQz0a0saHTqUJCKysnC1ysos/sk6W3ltXsPa+ikMUDkyMswdOxI282f4rS7ycpQljOb9FreGn8Otw3qRM+4pun9h/I4+biUskwI8RdgBPAh0GwkJ3y4XUpjXlGgNOiFu+DoNsjdogzxFO6B0kPKebsVXB5LXmMYKB4Sup/QMJA/0uXCVVCANiICjd+qDpfTTUleJUWHrTgdLipNpcS3jcBoDu5AR0VFpekQGoEmXI+sdKJBi95oxGatKXfh5Xh2Ggutlri//x3D1tW0awtZyw7gqFLmubQawf9d3oOUmKYxBKGMZ3hn3C4H3pZSfiWEmNIkpWlKTJHKS0pwO8BZ5feyKZO9tuLAOEILGq2iE6QPg9guYLA0arGchYVIlwtdgrJhzO2WVJRUUVHmQAAOk41SbQHJ0cloG9NDmoqKSoPQhulxlzlwl9kxhYdTVlCA0+FApw/+cBYWFkZhYWHIO40Boq74K/lvvkm73xZyMPIqtq8+RNpFde8ybwxC6RHkCCHeBa4DFgkhjCHGOz0RQhnbN0YoT/VRSRDXBVr1gDZpytN+bGeIbAvmaEUaIroDxHet0wiEJEOdnk56erpPMjctLY3xEyeiCQ9HmE1UlNkZN/ZGeqR2Y9jICxhy+fl8v/obWoW1wqxrep8Cqgz16UVTy1CXlpaSlJQUkvT0lClTmD17NhB4n0IhIyMjQCZ64cKFbN++PeT49RHsv+ctZ7du3UhNTeXss8/mH//4B8XFxb54oVzPPXv2MGDAALp27cr1427AaZC4K50YPY6eqjy9goceeoiePXvSvXt37rnnHqSUGI1GFi5cSO/evXn55ZdDqovQ64m77TYsm5aQmCjI/Gk/LldNeerGJpQG/ToUv8OXSsVxfSzNUIY6JIQG9CYwRSlKodEdFCNhiatzGKheGWo/obbMzEwGDhzIjh07cDkcrNqwgSqLhZKjlZQX2tBoBC++OJ21m9fywDP/YuqDU4kxxdSad0NRZaibD00tQ/34448f967yhtCUhqC2/56XOXPmkJWVRVZWFkajkSuvvLJB6T/88MPcf//97Ny5k5iYGGbP+0hpCyrc6E0mKsvLWbNmDatXryYrK4vs7GzWr1/P8uXLEUJw44038vnnn/Paa6+FnGfUmNHoWremw74fKS+s4s/1RxpU5uMhFK2hCuALv++5QNMuaj0BVs77g/wDwcSkj5/49uEMuu6sWs/XKUNdC3PmzOGGkSP5fe8+5n2xiFGXjSEizoTBrENoJQfKDtBvQD+O5B6pMYG8YcOGGjLUUkp27drFXXfdRV5eHhaLhffee0+VoUaVoQ7Gxo0bOXLkCJdeemlIT/fh4eEBwxv/+9//uOeeeygtLWXWrFn079+fwsJCJk2axO7du7FYLMycOZPIyEjeeecdtFot//vf//jPf/7D119/zfLly5k6dSoLFiygrKws6O9xyJAh9OnTh40bN5KXl8dHH33EM888w44dOxg7dixTp04N+b9nMBh48cUXSUlJYcuWLaSlpdV7PaWULF261OdjYcKECUyZMoXbb/wb7jI7ZksEpUV5uJxObDYbdrsiReFwOGjVqhWgTBonJiYG9ETqQ2MwEHfrrTiefY7o0SPY9ON+zurfukn3CtWlNbRHCLFbCPFrk+V+hlCrDHUdzJs7l2uGD+eqq8czf8E8ImJNmMMVJdRCWyEu6WL7mu1cddVVvjjere/+MtSXXnopDzzwAKBIErzxxhts3LiRl156SZWh9qDKUAfidrv517/+FXDd6uOBBx4I6AFarVbWrFnDW2+9xaRJkwB48skn6dOnD1lZWTz33HPcfPPNJCcnM3nyZO6//34yMzO58MILGTVqlM/5UpcuXer8PRoMBlasWMHkyZO58sorefnll8nOzmb27NkUFBQ06L+n1WpJS0vzyVXXdz0LCgqIjo5G53FS5ZWq1obrQQj0buX/2qdXT4YOHUqbNm1o06YNI0aM8MldeCeN3W53g8T7oq+9Bl18HMlHV1B4yMq+7OBie41FrT0C2UxVR+t6cm8qgspQT5vGxIkTg4Zf9+uvxEVF0eqsPkS6ddz9wD+wOa2YMWBz2Xj28Wd54ckXyM/LZ+3atb54ixYtCkhn3rx5bNq0iR9//JFyTxfVX1JalaEORJWhVnjrrbcYOXJkvXnUhdeR0uDBgyktLaW4uJhVq1axYIEienjRRRdRUFBASUlJnenU93v0Sl337t2bnj170rp1a4xGI507d+bAgQOkp6c36L9XW2Mc7HoGCyuEQGg1aML1yqSxKYzt27LZsWOHT732kksuYcWKFQwePBjAJ7K4bds2evXqVef18KIxmYibNAnH9JcIu3wwm37YR3Jq/SMNx0u9Q0NCGZcYD3SWUj4thOgAtJZSrmuyUjVDAmSoe/fmww8/rPXH+MmHH/L7nj2k/qUfQgNlZYoM9bgJ47A5bPx76r+5bdxtvPHGG0yYMIGNGzfWSGPHjh08+eSTrFixAq1Wi9vtJjo6utYGQpWhVmWovfzyyy+sXLmSt956i/Lycux2O+Hh4UybNi3kNEK9LtXDNRR/eerq0tXe6xTqf8/lcrF169aQ5arj4+MpLi7G6XSi0+kCpKq14Xrc5Q5MunC+/W4R/fr2JTxckZ+47LLLWLt2rc8QGI1Gbr/9dgYMGMAbb7zh60HVR8z1Yyl47z2SS9ezrfwccv8sDine8RDKZPFbwPmA15diGfBmk5WoGRIgQ43ydFHbZJ3L6WT+lwtZ9v0vbN/6O3v3KTLUn8z9hINlB9FoNMQalTHte++9F7fbzQ8//BCQRklJCbfccgsfffSRb5wzMjKSTp06MX/+fECVoQ5GS5ah9mfOnDns37+fvXv38tJLL3HzzTf7jMCjjz7Kl19+WW8a3hVjq1atIioqiqioqADZ6YyMDOLj44mMjKxTrvpEf4+h/vccDgePPvoo7du3D1lzSQjB0KFDfSvpPvzwQ99ks7dXoHEIOrbvyLJly7Db7TgcDpYvXx5gbIQQvP7666xcuTIkKXAvGouF2IkTiV/1P4wmwaYf94cct6GEYggGSCnvAmwAUsoi4MTdep1B+GSoe/QgNTWV7du3M2XKlKBhf/j6e1q3TqJTx7aERRsRQjBo0CCyt2WTm5tLmC7MN8YthODf//43L774InBsjmDhwoUcOHCA2267zbckFZQ/uCpDrcpQB5Oh3rBhg+9zXWzdupXWrVvXGy4mJoaBAwcyefJk/vvf/wLKEtMNGzaQmprKI488wocffgjAFVdcwZdffkl6ejorV67k+uuvZ/r06fTp04ddu3ad0O+xvv+ed56qV69eWK3WWv8TtV3PF154gVdeeYWUlBQKCgq49dZbAeV6/v2fd4IQjLt6PB3bt6N3r16kpaWRlpbm87jmxW6307p16wbtNAaIGT8OfYSZ5Kpt7M3Kx1Z8fE6C6qU2WVLvC/gV0AKbPN8TgM31xWuq12kpQx0i1mKbPLK3RBbuPhIgUVtYWSiz87JlXkVeyGmdbDne0wlVhrrp7v3w4cObLO3G4HT73TuKbLLqQKksOXREHt61Uzrt9hphjhw5IhMTE+uUp66rDTv6xgy5pec58p27lso5038+7rJygjLUrwNfAolCiGeBVcDzTWKVzmAqy+yUF1ehc1QQEWv0jZ1Wuao4bD1MmD6MOFPcKS5l80eVoT4xqg9DqtSNNtKA0GkwSQsaoaWsIHAT3yeffMKwYcN48MEHCQsLa5A8tZfYm27EaITzNCtpnd40S0hD2UcwRwixEbgYEMBVUsodTVKaMxRbuZ2yQhs6dxUWWY42Ullj7JZucspyAEgKTzrhiTWVYzLUjYEqQ61SH0Ij0MaZcB6tJNIYR7H1KFUVFRg9onPjxo1j3LhxgDL6otFosFqtIUtOAGijooi58UYKZs5Ef37X+iMcB6Goj34spfxNSvmmlHKGlHKHEOLjJinNGYjN6qC0wIZeB2brUXQJ8b4GP78yn0pnJW3D26LXqmJyKirNEY1eiy7WhHALwg3RlBXk1bqCKiwsDLvd3uCVYbETJyDMZizLljVWsQMIZWiop/8XIYQWOKdJSnOGUVXppDS/Ep1Ri7kyD2HQo/WsF69wVJBXkUeUMYooY9QpLqmKisqJoDHr0EYa0AsjOpeeipLioOGOR54aQBcTQ4f336PsmmtOtKhBqWtn8aNCiDIgVQhRKoQo83w/CgSfeq+ZxqVCiN+FEH8KIR6pJcwQIUSmEGKbEKL+LbnNBLvNSUleJTqDlkizC2mrRJeQgBACl9tFTnkOeo2eNmFtTnVRVVRUGgFNhAFh1mHRRWArLscV5Klfq9U2WJ7ai6VvXzA0zYLNWg2BlPJ5KWUEMF1KGSmljPC84qSUj9aXsKfn8CZwGdADuEEI0aNamGiUfQqjpJQ9geBbXJsZjionJUcr0eoEUYlmXPl5CL3B1xs4XHEYu8tOUkSSKi2tonKGIIRAF2MCnSBMG4m1IPgyZu+kcUN7BU1JKJPFjwohYoCugMnv+Ip6ovYH/pRS7gYQQnwKXAn4yw6OA76QUu73pHm0YcU//XDaXRQfrUSjFUQnWqDCiruyEn3btgiNhtKqUoptxcSb4wnTn7h3MxUVldMHoRHo4iw4jljR2XXYKysxVJsYNhqNGAwGSktLMZlMp4VKbigSE38D7gXaAZnAecAvwEX1RE0CDvh9PwgMqBbmLEAvhMgAIoD/SCk/ClKG24HbAVq1akVGRgbl5eVkZGQAyu7E6rtMTwUvvvAi8+d9jkarRavTEBMTTXFeHlarlfySEjp07IBDOnjqxae47ILL6N27N926dfNtXgKYPHkyq1evJjIyEiklzz33HEOGDKmRl8vlalCdR44cyeHDhzGbzVRVVXHXXXdxyy231Btn6tSp9O3bl169erF8+XLi4oIvcS0uLmb+/PkBu3JB8Q8wZswYKioqfHIY8+bNY9q0adxyyy3cfffdIdfBS0PrfqbRkuvfXOouzBJDpR57vhVblKPGikCdTofdbqegoACz2YzNZvO1Z3Xh3+41JqF4KLsXOBdYK6UcKoQ4G6hbN1gh2FrI6oNiOpSJ54sBM/CLEGKtlPKPgEhSzgRmAvTr108OGTKEjIwMXwO5Y8cOnzbMstkzObpvdwjFC53Ejp0ZOvH2OsOsXrWa7xf/wE+LVtK6QwzFpUVUFhURX1XFml27ePW993jzkzexOqx0ierC7p1KGX/55Rc0Go1PC0iv1/PSSy9xzTXXsGzZMm6//faALfReysrKfHUOBa1Wy9y5c+nXrx+FhYV06dKFyZMnY6hjzFGr1RIWFkZERARCCMLDw2vNs6CggFmzZvHPf/4z4PjSpUvp0KED8+bN8x279dZbufzyyzn33HN57LHHQq6Dl4bW/UyjJde/OdXdll+GwWbEXSUxJdQss0ajoby8HIPBgMlkCklC3L/da0xCWTVkk1LaAIQQRinlb0C3euKA0gPwlzdsBxwKEuZ7KaVVSpkPrADSQkj7tMLtlvz5+z5iYuJIbBeNzqAlPj6eRJ0OodOhiYjA7rJTbi+ntaU1Rp2RTz75hJtuuonhw4fz9ddfB033/PPPJycnp8bxxYsXM2HCBN/3jIwM35b2O+64g379+tGzZ0+efPLJoOkG8w9QXxx/XnnlFXr16kWvXr18Djf8/QP4Sz4E8w8A0Lp16wZptKuoNDeMceE4caCpEjgrajplCg8P9ykCN3TiuLEJpUdw0DOpuxBYIoQoomaDHoz1QFchRCcgB7geZU7An6+AGUIIHYp+0QDg1dCKHpz6ntwbG+mWlOZVMvj8IbzynxfoldqDYcOGcc2oUZzfrh361q1x5OzH7rITbgj3eRv77LPPWLJkCb///jszZszwyfr68/3339fwR/D+++9zySWXcPvtt2O1WgkLC+Ozzz7zacU/++yzxMbG4nK5uPjii8nKyvKJbI0fPx6j0cjOnTt57bXXAvwD1BanOv7+AaSUDBgwgAsvvJBp06aRnZ1dQ/00mH8A37U7xT9+FZWmRAiBPt6CM68SWSjRGnQI3bH/gkajISoqisLCwgDJ+FNBvT0CKeVoKWWxlHIK8DjwX+CqEOI5gX+guLncAcyTUm4TQkwWQkz2hNkBfA9kAeuA96WUzWYrp5SS0oJK7DYnrTvEs2nzJmbOnElCQgLjbrqJ/339DZqYGPIq80BA2/C2CCFYv349CQkJdOzYkYsvvphNmzZRVFTkS/fBBx+kc+fO3HjjjQFDJ4sWLaJt27bodDqGDRvGN998g9Pp5LvvvvOpIs6bN4++ffvSp08ftm3bFuAS0Ou2b//+/bz00kvs27ev3jjV8fcPEB4ezpgxY3zKkcGoyz9ATEyMT8FTReVMRG8y4TS5QIIjvwLpDnz4MZlMmEwmqqqqAtqAk02tPQIhRGyQw1s97+FA8LVRfkgpFwGLqh17p9r36UDorpJOE6SUlBdWUVXhJDzG6PMuNmTIEAb370+3qCjm/PADo+6dhN1lx6Q1odcou4fnzp3Lb7/95nOeXVqq+CPwqkNOnz6dMWPG8Prrr9fqj2DMmDF88MEHxMbGcu655xIREcGePXtC0vo/XfwD3HfffaSlpTVIo11FpbkRFhtD8cFcwp1RuIpsaGNNAZPHkZGRgPKgN27cuFMiNVNXj2AjsMHzngf8Aez0fK7ZMrUwKkrsVJbbsUQasEQafbrobrsdx+HDZP3xB+06dyS/Mp8IQwQ6jWJz3W438+fPJysri71797J3r+KPoLqzFI1GU6s/AoBBgwaxadMm3nvvPd+wUKha/43tH2DQoEHH5R/gueeeY+fOnaoRUDmj0Wi1mGIiqHSW4a504i4P9DGh0+kwmUzs3LnT50bzZFOvq0ohxDvA156ne4QQlwHDTk7xTk8qSu1YS6owhekJi1a8JpUVF3P3XXdRXFSETquly1ln8cir/8agNRBjPOYYfsWKFSQlJZGUlOQ7NnjwYLZv305ubm5APv7+CEaMGOGbI2jbti1arZa//vWvzJ4926f77q/137lz5xpa/+PHj/ctH/X6BwDqjFMdf/8AoLh49K528PoHuOyyy3z+cLt161arc/SqqiqfxycVlTMZc0QklaWlOGQVlIDQa9CYjjW/BoOBVq1asXjxYjp37hzgje1kIOrr6gshNkopz6l2bIOUsl+TlqwW+vXrJzds2FBj+Wio7udOFJvVQWl+JQazjqgEM7jdOPPzcRUUIN1utDEx6BISOFR1lJKqEjpFdcKitzR6OZrLMrp58+bx+eefBywfBTh69Ci9e/fmyJEjDU6zudS9qWjJ9W/OdbfbbBTlHCTKlIhGaNAnWnyTxzt27CAsLIxZs2Zx/vnnM2LEiKBpnMjyUU9bHrTdDmX5aL4Q4t9CiGQhREchxP8BBcdVkmaOV0ROb9QSGWfEVVBA1R9/4MzLQxMejrFrVwxJSZTJSkqqSkiwJDSJEWhOBPMP4K/RrqLSUjCYTJgiIiizF4CUOAttAXNuHTp0oG/fvqxdu5bDhw+f1LKFYghuQPFK9iXKEtJEjvkvbjE4qlyU5lWi02sI19ux//knjsOHEWYzxs5dMHTogMZopMJRwaHyQ5j1ZhLMCae62Kccr3+ALVu2+Jarjhs3jqysLB544IFTXDoVlZNLeGwcEjdVohJpd9WYLxg2bBhms5lvv/0Wt9t90soVyvLRQinlvVLKPp7XvVLKelcMnUk4HS6Kj1YghMRsPYIzNweh02FITsaYnIzGomiJVDoq2Ve6D51GR/uI9qqjGRUVlQC0Oh1hsXFYK0uQBoGrpAq3/ZgnPYvFwvDhwzl48CCbN28+aeWqa/noa1LK+4QQ31BTGgIp5agmLdlpgsvppviwFVxuzNbDCIMWfYcOaDyyC15sThv7Sveh1WhJjkz2LRVVUVFR8ccSGUVFSTHlVUVE6GJwVRsiSktLY/PmzSxZsoRu3boRHh7e5GWqa2ex1wvZS01eitMUl8NBUU45bgRh9kKMbVuhjY6u8aRvc9rYW7oXjdAoRkD1NqaiolILQgjCY+MoOXIYd7hEY5XISmfA+csvv5x33nmHJUuWMHr06CYvU13+CDZ63pcHezV5yU4x0uGg9EAhbqElwuzGkpKMLiamhhGoclWxr3Qf7778LlcNuop+ffqRnp7Or7/+yujRo0lPTyclJYWoqCjS09NJT09nzZo1gGL5q0tLTJw4kU6dOpGenk5aWho///xzo9RnyJAhdOvWjfT0dLp3717r2v7qcbxLP5OTk8nPz681bHFxMW+99VaN42VlZVxwwQWkp6f7JouHDBnC3r17j68ix8nevXvp1avXSc0zMzOTRYsW1R+wkcjIyGDixIn1hvv+++/p1q0bKSkpTJs2rda0/H+zTz/9tO/cP//5T7p3786yJnKb2BIwhYWjMxgpKytAE67HXeXC9vuxEffExEQGDhzIli1b2LNnT5OXp66hoa0EGRLyIqUMLkZzBuB2OLDuO4xDH4XZLDAnBttkDXaXnb0le9m0fhNrfl7D5k2bMRqN5OfnY7fb+fLLLwHlT/XSSy/x7bff+uLu2LEDt9vNihUrfJpBXqZPn16v+ujxMGfOnAD10YkTJ9apPtoQvIbgzjvvDDi+dOlSkpKSaiwfbQpcLtdpoe0O4HQ6yczMZMOGDYwcOfJUF8eHy+XirrvuYsmSJbRr145zzz2XUaNG0aNHjxphBw0aFPCb9fLKK6/Qv39/Zs2axdChQ09Gsc84vL2C4sOHsIsqhFZD4ed/0Oq+c9CGKSMKgwcPJjs7m++++47Jkyej04UiDXd81JXyXz3vd3nevUNF44HTx7VONYq/2YX9kPX4E5Bu3LYqXEKP0ORRadDiahtO9BVdAoI5XA72lu5FSokoFSQmJPo2gcTHx9ebjVd9dMeOHXz99ddBRefqUh997733+OKLLwDF0Lz88st888033HHHHaxfv57KykquueYannqqpmJ4MPXR+uL488orrzBr1ixA2VB23333BaiPXnLJJb4NZcHUR2NjY9FqtbhcLm699VY2bNiAEIJJkyZx//338+effzJ58mTy8vLQarXMnz+fzp0789BDD7F48WKklDzxxBOMHTuWjIwMnnrqKdq0aUNmZiZbt27lkUceISMjw+d34e9//3tA/rNnz2bhwoW4XC6ys7P517/+hd1u5+OPP8ZoNLJo0SJiY2MZMmQI6enprFu3jtLSUmbNmkX//v0pLCxk0qRJ7N69G4vFwsyZM0lNTWXKlCkcOnSIvXv3Eh8fz6pVq6isrGTVqlU8+uijdOrUifvuu4/KykrMZjMffPAB3bp1Y/bs2Xz99ddUVFSwa9cuRo8ezYsvvggoT++PPfYYLpeL+Ph4fv75Z6xWK/feey9bt27F6XQyZcoUrrzySgwGA1FRdfu/XrduHSkpKXTu3BmA66+/nq+++iqoIagLVT32xDFaLOhNJqzFhQiLDneFk6IvdhJ3Y3eEEBgMBkaOHMknn3zCL7/8wqBBg5qsLHXtLN4HIIS4QErpv930ESHEauDp4DGbMdKN22bDLXQgQKvXEsytgtcIuNwukiOTaXdZO6Y9O42zzjqLYcOGMXbsWC688MI6s2rJ6qNeA7Zx40ZycnLIzlZ0Br0Ny/jx43nkkUcYPXo0NpsNt9vNF198QWZmJlu2bGHv3r0MHTqUwYMHA0rjlp2dTadOnZg5cyZRUVGsX7+eqqoqLrjgAoYPH15jSC87O5vNmzdjs9lISUnhhRdeYPPmzdx///189NFH3HfffQBYrVbWrFnDihUrmDRpEtnZ2Tz55JP06dOHhQsXsnTpUm6++WZfvTdu3MiqVaswm83Mnj2bDRs2MGPGDECRAFmxYgU6nY6ffvqJxx57jAULFgDKMNLmzUqPslu3btx9992YTCZuu+02VqxYQadOnSgsVIYOXnrpJS666CJmzZpFcXEx/fv3Z9iwYQwcOJCBAwcCsGHDBt555x3ef//9gHrn5OTQvv0xdfh27drx66+/Br3Xv/zyC2lpabRt25aXXnqJnj17+s5pNBrfUJ/K8SGEICI2jsJDOTgcNqJGJFOyaA8VG48Q1q81AGeddRbdu3dn+fLlTTq0GUpfI0wI8Rcp5SpP4QcCp62PxepP7qHirqrCvmcPVdp4qgyRRMSZfEJy/jjdTvaV7sPpdtIxsiNmvRn0SgOwcuVKli1bxtixY5k2bVqt47X+6qPt2rVj0qRJFBUVEROjSFE8+OCDPPTQQxw9epS1a9f64vmPN3vVR6+55hq+++473xPkvHnzmDlzJk6nk9zcXLZv3+5r1L1DQ3l5eQwcOJBLL72Ujh071hmnOv7qo4BPfXTUqOCLyOpSH+3cuTO7d+/m7rvv5vLLL2f48OGUlZWRk5PjmyAzmUy+fG+44Qa0Wi2JiYlceOGFrF+/nsjISPr370+nTp0A+PHHH8nKyuLzzz8HoKSkhJ07d3LWWWcF5D106FAiIiKIiIggKirK58+hd+/eZGVl+cJ5DfTgwYMpLS2luLiYVatW+Rrwiy66iIKCAkpKSgAYNWoU5mquCb2UlJQwYcIEdu7ciRACh+PYGvKLL77Y9zTfo0cP9u3bR1FREYMHD/bVLTZWGaJcunQp33//PS+9pKzjsNls7N+/P2B3fb9+/WoYAQguGhhsmXPfvn3Zt28f4eHhLFq0iKuuuipgiDIpKYk//vgDm83mu0cqDcdgtmCwWLDnHkZ/TgzG3wop/no3xk5R6OKU39Gll17Krl27fOrDTUEoG8puBd4UQuwVQuxFcTZ/RqmEuW027Hv24BJ6qgyRGC16TGE1V/54jYDdbadDZIeAXcNarZYhQ4bw1FNPMWPGDF9DEQx/9VGv8Jt/+OnTp/Pnn38yderUAAc0/owZM4Z58+axdOnSGuqjP//8M1lZWVx++eX1qo+GGsdLQ9VHP/30U8aNq+6GQiEmJoYtW7YwZMgQ3nzzTf72t7/Vmn5d+frPr0gpeeONN8jMzCQzM5M9e/YwfPjwGnH8tVw0Go3vu0ajwekMXMHhjxCizsbUvyzVefzxxxk6dCjZ2dl88803AdfZvzxarRan06kMOwZppKWULFiwwFfH6kagLtq1a8eBA8c8yB48eDBo4xIZGelbtjhy5EgcDkfAYoEuXbrQo0cPOnTowNatW2vEVwmdiJg4pNvN5sVfE3PdWaCBwnl/IF3K7ywqKoohQ4awc+fOOhdsnAihbCjbKKVMA1KBNCllupQyuK5wM8RdWYl9zx6k0GALS0Sj1RARa6zxB3S5Xewv3U+Vq4oOER0CHM97lUe9ZGZm0rFjx+D5qeqjPvLz83G73Vx99dU888wzbNq0icjISNq1a8fChQsBRZiuoqKCwYMH89lnn+FyucjPz2fFihU+4Tt/RowYwdtvv+172v7jjz+wWo9/zuizzz7z1SUqKoqoqCgGDx7MnDlzAGV+Jj4+3icl7E/1a1JSUuITG5w9e3a9eZ9//vksX77ct2rEOzR08cUX88Ybb/gMUkM2Hp177rns3LmTPXv2YLfb+fTTT4P25g4fPuxLf926dbjd7gB/1Vu2bGH37t3k5OTQu3fvkPNXqYneZEJnNLLh2y+wa6qIuSoF+75SyjKOGewBAwaQlJSE3V7T01ljEIrzeiNwNZAM6LwNpJSy2c8RuCsqsO/dB1oNjpgkXJUuoluZ0WgD7aPL7WJ/2X5sThvtI9sTbgjc4FFeXs7dd99NcXExOp2OlJSUWhs/VX30GDk5Odxyyy2+rfTPP/88AB9//DF///vfeeKJJ9Dr9cyfP5/Ro0f7xqyllLz44ou0bt26hmzv3/72N/bu3Uvfvn2RUpKQkOAzKsdDTEwMAwcO9E0WA0yZMoVbbrmF1NRULBaL7/pXZ+jQoUybNo309HQeffRRHnroISZMmMArr7zCRRddVG/eCQkJzJw5kzFjxuB2u0lMTGTJkiU89NBDPP7446SmpiKlJDk5ucbqntrmCHQ6HTNmzGDEiBG4XC4mTZrkG/t/5x3FVcjkyZP5/PPPefvtt9HpdJjNZj799NOAh6OioiKSk5PR69U9M42B0RKG3WZj/dcLuPDGSVTuKKT0532YzorB0D4CrVbLrbfeyooVK5ok/1DUR78HSlB8EPhmh6SULzdJieqhsdRHXVYrjn37QKeD1h0oLVJ8C4THBI53uqWb/aX7sTqstI9oT6Sx5pPfqaC5qDDWpj56Ipysug8ZMoSXXnqJfv1OidBurZwO937evHksWLDA12M6WZwOdW8KduzYwd6li/njl1VMen0mYaYojvxnE0KvJfGePmgMysKOU6k+2k5KOVZK+aKU8mXv67hKcprgKi/Hvm8f6PXoOiRTVuJAZ9D6fAt4cbgcPiOQFJF02hiB5kQw9VGV5s0///lPXnjhBZ9HPZXGYeC143C73fz6xWdoLHpiruuGs6CSku92N3neoawaWiOE6C2lPCNmhFxlZdj370djMKJP7khpoQMkRMYfcx/ncDvIr8ynyKb4EG0b3pZoY/QpLHXzxas+2hzJyMg41UU4LXnllVdOdRHOSKISW5M6bARZP31Pv7+OIbpLG8IHJVG+IgdT9zjMZwff2NoYhNIj+AuwUQjxuxAiSwixVQiRVW+s0xBXaaliBIwmDJ2SsVW6sdsUn8M6vRan28kR6xH+LPqTwspCoo3RpESnEGOKqT9xFRUVlRNkwOixaLQ61sxXFiNEDU9G3zqMos//wFXeNBPFEFqP4LImy/0kohiBA2jMZgzJHXG6oLy4CqNZhyFMy9GKoxRUFuCWbqKMUSRYEjBqT667OBUVlZZNeEwsfS67gvVfL+DcK68hoUMysdd348iMzRQt2AkdmibfUJaP7vPsMq5E0R7yvpoVwmRCGx2FIbkjUmgoza9EoxHYwyrYWbyTvIo8wvXhdInuQruIdqoRUFFROSWcO+pqjGYLqz/7HwD61mFEjeiEbUchkQebxsdJvYZACDFKCLET2AMsB/YCdS82Pw3RGAwY2rVDaLWUF9lwOdyUGAo4WnkEs85M5+jOtI9sj0mn7pJUUVE5dZjDI+h3xRh2bVjLoT+U5dHhF7TF3Dsel75pnsFDmSN4BjgP+ENK2Qm4GFjdJKVpYtzSTUFJMbZyBxX6MrRG6BTVSZGK0AWXBQiVZ599lp49e5KamqrKUPuhylA3TxlqKSX33HMPKSkppKamsmnTsT2kycnJ9O7dm/T09ICltcuWLaN79+7cf//9J1yXlk7fkaMwR0ax+rOPABAaQdz47lhbN01+oRgCh5SyANAIITRSymVAetMUp+mw2q3sLtyDowTcWifx8VF0jOzYKM7lf/nlF7799ls2bdpEVlYWP/30E+3bt+fLL78kMzOT999/n0GDBvkkAQYOHFhDhtqf6dOnk5mZyWuvvcbkyZNPuHxe5syZQ2ZmJqtXr+bhhx9u1F2KtRkCrwx1ZmZmk0tEn07LU70y1CfTEISCV4Z68eLFbN++nblz57J9+/Ya4RYvXszOnTvZuXMnM2fO5I477gg4v2zZMp/MtpehQ4eSlZXFBx98EKCjpNJwDCYz542+jv3ZWezbmtnk+YUyWVwshAgHVgBzhBBHAWc9cU4Zixcv5vDhwzWOu6Ubp8OFkBp0Bi0NcSfcunVrLrus9jnz3Nxc4uPjVRlqVYb6jJGh/uqrr7j55psRQnDeeedRXFxMbm4ubdq0qTN9vV5PdHQ0paWlAZIUKg0nddhlbPh2Ias+/YgOvdKa1Ad6KIbgSpSJ4vtRfBFE0RwlqN0CITVodZoGGYFQGD58OE8//bQqQ63KUJ8xMtTBwuXk5NCmTRuEEL5r+ve//53bb789IK4qUd046AwGzr/2Bn5853X+3LCWruee33R51XZCCJECtJJSeucD3MCHQojBQDRQ0GSlOgFqe3J3uyU2qwNzuL7RLWt4eLgqQ63KUANnjgx1XeFWr15N27ZtOXr0KJdccglnn322zyiDIlGdlZXFsGHDgl4HldDpOfhi1n+1gNWffkyXc2qKLDYWdc0RvAaUBTle4TnXrNBoBJYIQ5N1r1QZ6pqoMtSBNCcZ6rrCed8TExMZPXo069atC4h7zz33cMUVVwT4OVY5PjRaLReMvZGCg/v5bXXTCM5B3YYgWUpZYwexlHIDihKpigdVhlqVoT7TZKhHjRrFRx99hJSStWvXEhUVRZs2bbBarb46Wa1WfvzxxxqrsZ577jmWLl3KE088EXK5VGrnrAEXkJDcmTXz5+BuoiG3uuYI6lpQf2JrLc8wVBlqVYY6GM1ZhnrkyJEsWrSIlJQULBYLH3zwAQBHjhzxDds5nU7GjRvHpZdeGpBHUVERXbt2rbd+KqEhNBr+cv1NfDntKQp2bIWLL278TKSUQV/AXOC2IMdvBT6rLV61sJcCvwN/Ao/UEe5cFInra+pL85xzzpFSSrls2TLpZfv27bKlUVpaeqqLEBKfffaZvPbaaxs1zZNV9wsvvFCuX7/+pOTVEE7ne19VVSWjo6Ol1WptkvRP57qfCPW1YW63W377nxflgvfePu48gA2ylna1rqGh+4BbhBAZQoiXPa/lwN+Ae+szMEIILfAmilZRD+AGIUSPWsK9ANQc/1Bp9qgy1C2HZcuW0a9fP2655RYslhPfn6NyDCEEl9/zILEpZzdJ+rUODUkpjwADhRBDAe8g4HdSyqUhpt0f+FNKuRtACPEpylLU6rtX7gYWoPQKVM4wVBnqloN3Q5lK86PefQRS2Um87DjSTgIO+H0/CAzwDyCESAJGAxdRhyEQQtwO3A7QqlUrMjIyKC8v9/1Ro6KiKC0tbdINF6cbLperxuRsS6El1x1adv3PxLpLKbHZbCE9ePi3e41JKBvKjpdgrXL1dXevAQ9LKV11NeJSypnATFBcVQ4ZMiTAZZt3BURcXFyLMQZnqsu+UGjJdYeWXf8zre5SSgoKCoiOjvYtuqiLE3FVWRdNaQgOAu39vrcDDlUL0w/41NN4xwMjhRBOKeXChmTUrl07Dh48SF5e3gkUt3lhs9l8m61aGi257tCy638m1t1kMtW66fJk0ZSGYD3QVQjRCcgBrgcCdhZJRc0UACHEbODbhhoBUPRNvLsvWwoZGRkhPUGcibTkukPLrn9LrntT0mSGQErpFEL8A2U1kBaYJaXcJoSY7Dn/TlPlraKioqISOk3ZI0BKuQhYVO1YUAMgpZzYlGVRUVFRUQlOKP4IVFRUVFTOYIRsgIjY6YAQIg/YhzK5XLvLrDOfllz/llx3aNn1b8l1hxOrf0cpZUKwE83OEHgRQmyQUvarP+SZSUuuf0uuO7Ts+rfkukPT1V8dGlJRUVFp4aiGQEVFRaWF05wNQXCd55ZDS65/S647tOz6t+S6QxPVv9nOEaioqKioNA7NuUegoqKiotIIqIZARUVFpYVz2hsCIcSlQojfhRB/CiEeCXJeCCFe95zPEkL0PRXlbApCqPt4T52zhBBrhBBpp6KcTUV99fcLd64QwiWEuOZklq8pCaXuQoghQohMIcQ2j9OoM4YQfvtRQohvhBBbPPW/5VSUsykQQswSQhwVQmTXcr7x27zaXJedDi8UjaJdQGfAAGwBelQLMxJYjCJ7fR7w66ku90ms+0AgxvP5sjOl7qHW3y/cUhQpk3pdnTaHV4j3PhrFyVMHz/fEU13uk1z/x4AXPJ8TgELAcKrL3kj1Hwz0BbJrOd/obd7p3iPweTmTUtoBr5czf64EPpIKa4FoIUSbk13QJqDeuksp10gpizxf16JIfZ8phHLv4ZiHu6Mns3BNTCh1Hwd8IaXcDyClbGn1l0CEUDTsw1EMgfPkFrNpkFKuQKlPbTR6m3e6G4JgXs6SjiNMc6Sh9boV5SnhTKHe+vt5uDvTlGxDufdnATEen+IbhRA3n7TSNT2h1H8G0B3Fx8lW4F4ppfvkFO+U0+htXpOqjzYCoXg5CyVMcyTkenn8St8K/KVJS3RyaTQPd82QUOquA84BLgbMwC9CiLVSyj+aunAngVDqPwLIRHFz2wVYIoRYKaUsbeKynQ40ept3uhuCULychRKmORJSvYQQqcD7wGVSyoKTVLaTwUnzcHcaEurvPl9KaQWsQogVQBpwJhiCUOp/CzBNKoPmfwoh9gBnA+tOThFPKY3e5p3uQ0M+L2dCCAOKl7Ovq4X5GrjZM5N+HlAipcw92QVtAuqtuxCiA/AFcNMZ8iToT731l1J2klImSymTgc+BO88AIwCh/e6/AgYJIXRCCAswANhxksvZVIRS//0ovSGEEK2AbsDuk1rKU0ejt3mndY9AhublbBHKLPqfQAXKk0KzJ8S6PwHEAW95noqd8gxRZgyx/mckodRdSrlDCPE9kAW4gfellEGXGzY3Qrz3zwCzhRBbUYZKHpZSnhHy1EKIucAQIF4IcRB4EtBD07V5qsSEioqKSgvndB8aUlFRUVFpYlRDoKKiotLCUQ2BioqKSgtHNQQqKioqLRzVEKioqKi0cFRDoBIyHjmDEdWO3SeEeKuOOI+dQF7JxxP3VCGESBdCjKzj/FyPWuT9J7Nc9SGE2CuEiPd8XlNLmNn1qbsKISYKIdo2RRlVmhbVEKg0hLkom3v8ud5zvDYabAiEENqGxjnVCCF0QDrK+u5g51sDA6WUqVLKVxuQ5klFSjnwBKJPBFRD0AxRDYFKQ/gc+KsQwgjgeWJvC6wSQtwghNgqhMgWQrzgOT8NMHs08+d4jt0ohFjnOfaut9EXQpQLIZ4WQvwKnI+ivugSQmg9T6PZnvRrPE0LIa71nN/ikVrwPp3O8AvzrRBiiF9eLwshNgkhfhZCJHiOZwghXhOKb4dsIUR/z/FYIcRCz9P8Wo+sB0KIKUKImUKIH4GPgKeBsZ66ja1WzB+BRM+5QZ7ew1pPml8KIWL8yvCcUPwL3FutnuFCiA881yFLCHG15/jbQogNQtHlf8ov/F4hxFOeem4VQpztOR4nhPhRCLFZCPEufto1Qohyz7sQQswQQmwXQnwHJPqFeUIIsd5zjWZ6wl6DIvkxx1NHsxDiHCHEcqGI4v0gzgxV4DOTU629rb6a1wv4DrjS8/kRYDqKMdiPoguvQ/EPcJUnTLlf3O7AN4De8/0t4GbPZwlcFyS/c4Alft+jg4TZCiT5n0d5Op3hF+ZbYIhfXuM9n5/whgMygPc8nwfj0YMH3gCe9Hy+CMj0fJ4CbATMwfKsVsZk/PTlUXYEX+j5/DTwml8Z3qoljRe84Tzfvb4oYj3vWk/8VM/3vcDdns93ouw+BngdeMLz+XLP9Yj3v1/AGGCJJ822QDEefw/e/DyfPwau8Ct7P89nPbAGSPB8H4uyQ/iU/4bVV82X2iNQaSj+w0PeYaFzgQwpZZ6U0gnMQWlIq3MxSsO+XgiR6fne2XPOheJXoDq7gc5CiDeEEJcCwdQlV6PIDdyG0nDVhxv4zPP5fwSqts4FnyZ8pBAi2nP+Y8/xpUCcECLKE/5rKWVlCHn68MSNllJ6vYp9SOD1+qxmLACGAW96v8hjviiuE0JsAjYDPYEefnG+8LxvRDFGePL6nyeN74AiajIYmCuldEkpD6EYdy9DhRC/CkXe4SJPntXpBvRCUQXNBP7NmeUv44zitNYaUjktWQi8IhT3eGYp5SahiN+FggA+lFI+GuScTUrpqn5QSlkkFBecI4C7gOuASdXCTBZCDEB5us0UQqSjOCnxf9Ax1VEuWctn7/e6ZH+tdaR7vNSWpqBa+YQQnYAHgHM912o2gXWt8ry7CPy/h6ItUyOMEMKE0pPrJ6U8IISYQvBrK4BtUsrzQ8hH5RSj9ghUGoSUshxlCGAWxyaJfwUuFELEe8b8bwC8T7sOIYTe8/ln4BohRCL4xt471pWfUFazaKSUC4DHUVz4VQ/TRUr5q5TyCSAfRaJ3L5AuhNAIIdqjeL3yogG8K2DGAav8zo31pPkXFFXHEmAFMN5zfAiK/HOwnkkZEFFXfQA8aRYJIQZ5Dt3EsetVFz8C//B+8cwrRKIYjhKhqHBeFkI6/vW5DIipJcz1njmaNsBQz3Fvo58vhAjn2HWEwPr/DiQIIc735KMXQgTrOaicBqg9ApXjYS7KkMP1AFLKXCHEo8AylCfBRVLKrzxhZwJZQohNUsrxQoh/Az8KITSAA+Upf18deSUBH3jCAwTrTUwXQnT15P0zio9bgD0o8wfZwCa/8FagpxBiI1CCp/H3UCSUJZSRHOt5TPGUIQtF7XFCLWVdBjziGQp5XkpZ2xAPnjTeEYqE9G5CU5CcCrwpFKfmLuApKeUXQojNwDZPOqtDSOcpYK5nOGk5yvxOdb5EGfbZiuLjYDmAlLJYCPGe5/heFMloL7M9dapEmfC/BnjdMxSmQ3EktC2E8qmcZFT1UZUWhxCiXEoZHuR4BvCAlHLDyS+VisqpQx0aUlFRUWnhqD0CFRUVlRaO2iNQUVFRaeGohkBFRUWlhaMaAhUVFZUWjmoIVFRUVFo4qiFQUVFRaeH8P8gm9esL6f2XAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "STARStrats = CID(\n", + " KSModel(),\n", + " [\n", + " STAR,\n", + " (STAR, STAR.zeroInfoBallot, {\"exponent\": 1.5, \"bottomSD\": float(\"inf\")}),\n", + " (STAR, STAR.zeroInfoBallot, {\"exponent\": 2, \"bottomSD\": float(\"inf\")}),\n", + " (STAR, STAR.zeroInfoBallot, {\"exponent\": 1, \"bottomSD\": 0.5}),\n", + " (STAR, STAR.zeroInfoBallot, {\"exponent\": 1.4, \"bottomSD\": 0.8}),\n", + " (STAR, STAR.vaBallot),\n", + " (STAR, STAR.vaBallot, {\"scoreImportance\": 0.5}),\n", + " (STAR, STAR.vaBallot, {\"scoreImportance\": 0.05}),\n", + " ],\n", + " 72,\n", + " 6,\n", + " 5000,\n", + ")\n", + "STARStrats.saveFile(\"starcid\")\n", + "STARStrats.chart(False)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "42699a17-265e-4e5b-bdf9-34d7eab3ad57", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "otherSWMethods = CID(\n", + " KSModel(), [Score, Borda, SmithIRV, Schulze, Rp, RankedRobin, ITRV], 72, 6, 5000\n", + ")\n", + "otherSWMethods.saveFile(\"othersw\", False)\n", + "otherSWMethods.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "b049b086-314e-40eb-87f0-a219bd662f86", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "otherMWMethods = CID(\n", + " KSModel(),\n", + " [RRV, (BlockApproval, BlockApproval.zeroInfoBallot), BlockSTAR, PBV],\n", + " 72,\n", + " 10,\n", + " 1000,\n", + " 4,\n", + ")\n", + "otherMWMethods.saveFile(\"othermw\", False)\n", + "otherMWMethods.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1571c637-6427-49bb-ab06-2c7b2e05838f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "randomElections = CID(\n", + " RandomModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 5000,\n", + ")\n", + "randomElections.saveFile(\"randomCID\", False)\n", + "randomElections.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "3a90d7a5-be81-4430-859b-859685418cfe", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "spatial2 = CID(\n", + " DimModel(ndims=2, dimWeights=[1, 1]),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 5000,\n", + ")\n", + "spatial2.saveFile(\"spatial2CID\", False)\n", + "spatial2.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "5c43f280-222f-400f-b3c4-f66f6852c69b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "spatial3 = CID(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 5000,\n", + ")\n", + "spatial3.saveFile(\"spatial3CID\", False)\n", + "spatial3.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a396c0d0-aba6-402a-b7bf-15bcd9eeaab2", + "metadata": {}, + "outputs": [], + "source": [ + "hugeb = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 75,\n", + " 6,\n", + " 5000,\n", + " numBuckets=25,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3208cccc-5822-4a4d-a3cc-56ef74263537", + "metadata": {}, + "outputs": [], + "source": [ + "stratComparison = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " (Plurality, Plurality.vaBallot),\n", + " PluralityTop2,\n", + " (PluralityTop2, PluralityTop2.vaBallot),\n", + " IRV,\n", + " (IRV, IRV.vaBallot),\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (Approval, Approval.vaBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot),\n", + " STAR,\n", + " (STAR, STAR.vaBallot),\n", + " ],\n", + " 72,\n", + " 6,\n", + " 2000,\n", + ")\n", + "stratComparison.chart(methodOnly=False)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "105844c1", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fromTop6 = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 1000,\n", + " sorter=devFromTop,\n", + ")\n", + "fromTop6.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "935b06f0", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fromTop6Norm = CID(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " IRV,\n", + " (Approval, Approval.zeroInfoBallot),\n", + " (ApprovalTop2, ApprovalTop2.zeroInfoBallot),\n", + " STAR,\n", + " Minimax,\n", + " ],\n", + " 72,\n", + " 6,\n", + " 1000,\n", + " sorter=normDevFromTop,\n", + ")\n", + "fromTop6Norm.chart()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "50647e5e", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + 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"sha256:ea8dda84d796094eb8709df0fcd6b56dc20b58fdd6bc4e8d7109930dafc8e419", + "sha256:eeeb204d30fd40af6a2d80879b46a7efbe3cf43cdbeb8838dd4f3d126cc90b2b", + "sha256:f402ca80b66e9fbd661ed4287d7553f7f3899d9ab54bf5c67faada1555abde28", + "sha256:fd12043868a34a8da7d490bf6db66991108b00ffbeecb034228bfcbbd4197143" + ], + "index": "pypi", + "version": "==1.13.1" + }, + "typing-extensions": { + "hashes": [ + "sha256:1511434bb92bf8dd198c12b1cc812e800d4181cfcb867674e0f8279cc93087aa", + "sha256:16fa4864408f655d35ec496218b85f79b3437c829e93320c7c9215ccfd92489e" + ], + "markers": "python_version >= '3.7'", + "version": "==4.4.0" } }, "develop": { diff --git a/SatPMOutputs.txt b/SatPMOutputs.txt new file mode 100644 index 0000000..1ba4a77 --- /dev/null +++ b/SatPMOutputs.txt @@ -0,0 +1,129 @@ +method backgroundStrat fgStrat fgArgs fgTargets vse fgMatters fgVSEDiff totalStratUtilDiff fgHelpedUtilDiff fgHarmedUtilDiff +1: Plurality lowInfoBallot compBallot {'intensity': 3} select21 0.8239297 0.344 0.09625666 0.8442803597 1.61971419 0.0000000000 +2: Plurality lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.8239297 0.180 0.17507851 0.7328394431 0.79484010 -0.0054730031 +3: Plurality lowInfoBallot compBallot {'intensity': 3} select31 0.8239297 0.360 0.13100630 0.2356587655 1.41971908 -0.0946857486 +4: Plurality lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.8239297 0.126 0.19611899 0.3613879038 0.53140236 -0.0397514728 +5: Plurality lowInfoBallot compBallot {'intensity': 3} selectRand 0.8239297 0.496 0.08589745 -0.4041559526 1.15172834 -1.2101098121 +6: Plurality lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.8239297 0.120 0.07576157 0.0958384509 0.33666166 -0.2082616602 +7: STAR lowInfoBallot diehardBallot {'intensity': 1} select21 0.9713795 0.376 0.05883734 0.1374335264 0.62673934 -0.0653357483 +8: STAR lowInfoBallot diehardBallot {'intensity': 2} select21 0.9713795 0.438 0.03464821 0.2272448381 0.79615176 -0.0152543235 +9: STAR lowInfoBallot diehardBallot {'intensity': 3} select21 0.9713795 0.810 0.17265299 -0.1460705587 0.79663075 -1.1888530336 +10: STAR lowInfoBallot compBallot {'intensity': 1} select21 0.9713795 0.424 0.03940085 0.2010727461 0.76753371 -0.0302730892 +11: STAR lowInfoBallot compBallot {'intensity': 2} select21 0.9713795 0.438 0.03464821 0.2272448381 0.79615176 -0.0152543235 +12: STAR lowInfoBallot compBallot {'intensity': 3} select21 0.9713795 0.348 0.05254995 0.1615194297 0.64362825 -0.0221622215 +13: STAR lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.9713795 0.056 0.10454472 0.1037120076 0.12221163 -0.0163508176 +14: STAR lowInfoBallot diehardBallot {'intensity': 1} select31 0.9713795 0.420 0.15803980 -0.0268913318 0.44556381 -0.3029010957 +15: STAR lowInfoBallot diehardBallot {'intensity': 2} select31 0.9713795 0.508 0.15635372 -0.0001602754 0.54738456 -0.3639353443 +16: STAR lowInfoBallot diehardBallot {'intensity': 3} select31 0.9713795 0.656 0.28763946 -0.4089633391 0.47207515 -1.3347440096 +17: STAR lowInfoBallot compBallot {'intensity': 1} select31 0.9713795 0.498 0.15844176 -0.0126207178 0.53983804 -0.3766214674 +18: STAR lowInfoBallot compBallot {'intensity': 2} select31 0.9713795 0.508 0.15635372 -0.0001602754 0.54738456 -0.3639353443 +19: STAR lowInfoBallot compBallot {'intensity': 3} select31 0.9713795 0.384 0.17719748 -0.0938134676 0.35861897 -0.3490324174 +20: STAR lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.9713795 0.094 0.15511719 0.0510897598 0.10888034 -0.0523583378 +21: STAR lowInfoBallot diehardBallot {'intensity': 1} selectRand 0.9713795 0.320 0.11281641 -0.1440308135 0.35966814 -0.8081625841 +22: STAR lowInfoBallot diehardBallot {'intensity': 2} selectRand 0.9713795 0.332 0.10933994 -0.1373325576 0.38479402 -0.8003058567 +23: STAR lowInfoBallot diehardBallot {'intensity': 3} selectRand 0.9713795 0.506 0.17864136 -0.5801910783 0.52484377 -1.6059815967 +24: STAR lowInfoBallot compBallot {'intensity': 1} selectRand 0.9713795 0.268 0.10089371 -0.0949913076 0.30241566 -0.5596013898 +25: STAR lowInfoBallot compBallot {'intensity': 2} selectRand 0.9713795 0.332 0.10933994 -0.1373325576 0.38479402 -0.8003058567 +26: STAR lowInfoBallot compBallot {'intensity': 3} selectRand 0.9713795 0.480 0.13362284 -0.6483198652 0.61589534 -1.2494039383 +27: STAR lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.9713795 0.130 0.08749449 -0.1227124529 0.08579403 -0.2065499235 +28: PluralityTop2 lowInfoBallot compBallot {'intensity': 3} select21 0.8490387 0.100 0.22157292 0.3102300465 0.54171326 -0.0003516053 +29: PluralityTop2 lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.8490387 0.066 0.24123944 0.2733242118 0.30777378 -0.0049870361 +30: PluralityTop2 lowInfoBallot compBallot {'intensity': 3} select31 0.8490387 0.268 0.14494296 0.4586559044 0.85388008 -0.0831833682 +31: PluralityTop2 lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.8490387 0.098 0.18371715 0.2306054038 0.31708369 -0.0547938369 +32: PluralityTop2 lowInfoBallot compBallot {'intensity': 3} selectRand 0.8490387 0.366 0.09075988 -0.0670588620 0.67451914 -0.9100494041 +33: PluralityTop2 lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.8490387 0.088 0.07831339 0.0274483720 0.17045495 -0.1686444987 +34: Approval lowInfoBallot diehardBallot {'intensity': 1} select21 0.9570367 0.528 0.03521226 0.5706370323 1.06034151 0.0000000000 +35: Approval lowInfoBallot compBallot {'intensity': 1} select21 0.9570367 0.544 0.04113936 0.5459305798 1.00949571 -0.0132399272 +36: Approval lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.9570367 0.212 0.10742799 0.3822661582 0.41067112 -0.0370296010 +37: Approval lowInfoBallot diehardBallot {'intensity': 1} select31 0.9570367 0.380 0.15635547 0.0566135949 0.50386777 -0.2502442467 +38: Approval lowInfoBallot compBallot {'intensity': 1} select31 0.9570367 0.482 0.15970241 0.0903908318 0.52355739 -0.3037868357 +39: Approval lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.9570367 0.126 0.16593607 0.0806966169 0.14729715 -0.0712742365 +40: Approval lowInfoBallot diehardBallot {'intensity': 1} selectRand 0.9570367 0.388 0.11625146 -0.1808318494 0.55524052 -0.9336758801 +41: Approval lowInfoBallot compBallot {'intensity': 1} selectRand 0.9570367 0.350 0.13992480 -0.1382430186 0.35770712 -1.1230976735 +42: Approval lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.9570367 0.120 0.08848288 -0.0494480383 0.16718407 -0.1940270866 +43: ApprovalTop2 lowInfoBallot diehardBallot {'intensity': 1} select21 0.9577387 0.308 0.06660504 0.1792626237 0.56392309 -0.0442632509 +44: ApprovalTop2 lowInfoBallot compBallot {'intensity': 1} select21 0.9577387 0.424 0.03952594 0.2762111505 0.81843867 -0.0493273365 +45: ApprovalTop2 lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.9577387 0.108 0.10404828 0.1506016515 0.17720915 -0.0193830243 +46: ApprovalTop2 lowInfoBallot diehardBallot {'intensity': 1} select31 0.9577387 0.356 0.13102785 0.0537363833 0.46418670 -0.2540795963 +47: ApprovalTop2 lowInfoBallot compBallot {'intensity': 1} select31 0.9577387 0.440 0.12339164 0.1048690556 0.55818411 -0.2836390676 +48: ApprovalTop2 lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.9577387 0.082 0.13551205 0.1117047278 0.11371056 -0.0140622817 +49: ApprovalTop2 lowInfoBallot diehardBallot {'intensity': 1} selectRand 0.9577387 0.238 0.08986278 -0.0933033721 0.30360475 -0.4816360593 +50: ApprovalTop2 lowInfoBallot compBallot {'intensity': 1} selectRand 0.9577387 0.260 0.10172043 -0.1012246758 0.31256581 -0.7241661202 +51: ApprovalTop2 lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.9577387 0.080 0.07466645 0.0266841994 0.08978399 -0.0952574044 +52: Irv lowInfoBallot compBallot {'intensity': 3} select21 0.9013811 0.044 0.23928397 0.0589105372 0.12227949 -0.0069311752 +53: Irv lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.9013811 0.046 0.24179360 0.0863359337 0.09391045 -0.0075039033 +54: Irv lowInfoBallot compBallot {'intensity': 3} select31 0.9013811 0.222 0.17310987 0.1592808413 0.57462390 -0.0865753384 +55: Irv lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.9013811 0.038 0.20703497 0.0428804408 0.04991509 -0.0060867302 +56: Irv lowInfoBallot compBallot {'intensity': 3} selectRand 0.9013811 0.418 0.12254466 -0.3217741165 0.74868969 -1.2250049631 +57: Irv lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.9013811 0.046 0.08635987 0.0119683469 0.06205150 -0.0494853002 +58: Minimax lowInfoBallot diehardBallot {'intensity': 3} select21 0.9202142 0.526 0.08690095 0.0989967180 0.94167669 -0.3227900425 +59: Minimax lowInfoBallot compBallot {'intensity': 3} select21 0.9202142 0.258 0.07964232 0.1424733212 0.61838553 -0.0013993575 +60: Minimax lowInfoBallot lowInfoBallot {'info': 'e'} select21 0.9202142 0.032 0.14242405 0.0548774107 0.05767753 -0.0239623097 +61: Minimax lowInfoBallot diehardBallot {'intensity': 3} select31 0.9202142 0.452 0.22388342 0.0083000995 0.62269505 -0.3513459780 +62: Minimax lowInfoBallot compBallot {'intensity': 3} select31 0.9202142 0.206 0.19203338 0.0820801022 0.47109916 -0.0295873656 +63: Minimax lowInfoBallot lowInfoBallot {'info': 'e'} select31 0.9202142 0.016 0.23672382 0.0094641084 0.05189706 -0.0299904816 +64: Minimax lowInfoBallot diehardBallot {'intensity': 3} selectRand 0.9202142 0.198 0.09505496 -0.0138760717 0.26710308 -0.3221391889 +65: Minimax lowInfoBallot compBallot {'intensity': 3} selectRand 0.9202142 0.424 0.11879672 -0.4770415814 0.66347374 -1.1652897647 +66: Minimax lowInfoBallot lowInfoBallot {'info': 'e'} selectRand 0.9202142 0.042 0.09322875 -0.0620523714 0.03947873 -0.1380252484 +method backgroundStrat fgStrat fgArgs fgTargets vse fgMatters fgVSEDiff totalStratUtilDiff fgHelpedUtilDiff fgHarmedUtilDiff + + + + + +method backgroundStrat fgStrat fgTargets vse fgMatters totalStratUtilDiff fgHelpedUtilDiff fgHarmedUtilDiff +1: Plurality honBallot compBallot select21 0.6872505 0.6220000 1.144421018 3.16579287 0.000000000 +2: Plurality honBallot lowInfoBallot select21 0.6872505 0.5000000 0.918044202 2.48267027 -0.022866835 +3: Plurality honBallot compBallot select31 0.6872505 0.5060000 0.720310406 2.55361241 0.000000000 +4: Plurality honBallot lowInfoBallot select31 0.6872505 0.4160000 0.804751818 2.10064397 -0.047544433 +5: Plurality honBallot compBallot selectRand 0.6872505 0.5180000 -0.324112860 1.40165412 -1.234543078 +6: Plurality honBallot lowInfoBallot selectRand 0.6872505 0.2620000 0.199874231 0.90613579 -0.337172509 +7: STAR honBallot diehardBallot select21 0.9717298 0.7646667 0.256068073 1.12974782 -0.375466573 +8: STAR honBallot compBallot select21 0.9717298 0.6773333 0.335243019 1.13367248 -0.124692904 +9: STAR honBallot lowInfoBallot select21 0.9717298 0.3480000 0.303751867 0.74479766 -0.038885123 +10: STAR honBallot diehardBallot select31 0.9717298 0.7266667 0.145818659 1.04221274 -0.476946300 +11: STAR honBallot compBallot select31 0.9717298 0.6600000 0.226834279 0.98600360 -0.269534921 +12: STAR honBallot lowInfoBallot select31 0.9717298 0.3160000 0.256135626 0.68726412 -0.065282556 +13: STAR honBallot diehardBallot selectRand 0.9717298 0.3653333 -0.171772715 0.55065865 -0.861796981 +14: STAR honBallot compBallot selectRand 0.9717298 0.3420000 -0.166739893 0.52017823 -0.745502869 +15: STAR honBallot lowInfoBallot selectRand 0.9717298 0.2240000 0.020194544 0.40352521 -0.258703796 +16: PluralityTop2 honBallot compBallot select21 0.8102535 0.1260000 0.369749808 0.69049452 -0.009999208 +17: PluralityTop2 honBallot lowInfoBallot select21 0.8102535 0.1340000 0.321086288 0.69082835 -0.007211323 +18: PluralityTop2 honBallot compBallot select31 0.8102535 0.3120000 0.501076513 1.14105496 -0.108788903 +19: PluralityTop2 honBallot lowInfoBallot select31 0.8102535 0.2240000 0.222325528 0.76087381 -0.126015291 +20: PluralityTop2 honBallot compBallot selectRand 0.8102535 0.4200000 -0.157764788 0.69872117 -1.170047431 +21: PluralityTop2 honBallot lowInfoBallot selectRand 0.8102535 0.1740000 0.008587798 0.33236613 -0.378023139 +22: Approval honBallot diehardBallot select21 0.8824618 0.9140000 0.972325202 2.07108757 0.000000000 +23: Approval honBallot compBallot select21 0.8824618 0.9200000 0.977373435 1.98604739 -0.011460981 +24: Approval honBallot lowInfoBallot select21 0.8824618 0.6340000 0.790184213 1.68822645 -0.084083711 +25: Approval honBallot diehardBallot select31 0.8824618 0.7560000 0.580234557 1.83509408 -0.119146912 +26: Approval honBallot compBallot select31 0.8824618 0.8440000 0.645261874 1.61311456 -0.192073573 +27: Approval honBallot lowInfoBallot select31 0.8824618 0.5660000 0.564329107 1.46555490 -0.141300619 +28: Approval honBallot diehardBallot selectRand 0.8824618 0.4400000 -0.056002250 0.86216945 -0.849991083 +29: Approval honBallot compBallot selectRand 0.8824618 0.3840000 -0.077018644 0.48516792 -1.175108757 +30: Approval honBallot lowInfoBallot selectRand 0.8824618 0.3700000 0.158572486 0.80513523 -0.437175491 +31: ApprovalTop2 honBallot diehardBallot select21 0.9188837 0.5440000 0.396740221 1.05175955 -0.163774316 +32: ApprovalTop2 honBallot compBallot select21 0.9188837 0.6620000 0.538513829 1.28482991 -0.148178192 +33: ApprovalTop2 honBallot lowInfoBallot select21 0.9188837 0.3200000 0.359997371 0.75655210 -0.046098683 +34: ApprovalTop2 honBallot diehardBallot select31 0.9188837 0.6420000 0.349291620 1.13849812 -0.276681266 +35: ApprovalTop2 honBallot compBallot select31 0.9188837 0.7240000 0.405079805 1.24889002 -0.266204223 +36: ApprovalTop2 honBallot lowInfoBallot select31 0.9188837 0.3600000 0.397680505 0.88760706 -0.056243359 +37: ApprovalTop2 honBallot diehardBallot selectRand 0.9188837 0.3500000 -0.006013247 0.54841995 -0.452609729 +38: ApprovalTop2 honBallot compBallot selectRand 0.9188837 0.3680000 0.030646503 0.44419676 -0.704480471 +39: ApprovalTop2 honBallot lowInfoBallot selectRand 0.9188837 0.2460000 0.112766617 0.46746879 -0.214651046 +40: Irv honBallot compBallot select21 0.8804050 0.0120000 0.004813567 0.02604069 -0.005911160 +41: Irv honBallot lowInfoBallot select21 0.8804050 0.1040000 0.144262942 0.24284239 -0.004487921 +42: Irv honBallot compBallot select31 0.8804050 0.1860000 0.417607301 0.70845048 -0.003942389 +43: Irv honBallot lowInfoBallot select31 0.8804050 0.1240000 0.163635813 0.30056893 -0.024550948 +44: Irv honBallot compBallot selectRand 0.8804050 0.4500000 -0.253924426 0.83444524 -1.269795300 +45: Irv honBallot lowInfoBallot selectRand 0.8804050 0.1540000 0.039798914 0.24901828 -0.189404634 +46: Minimax honBallot diehardBallot select21 0.9656280 0.6900000 -0.038521431 1.04376761 -0.767380079 +47: Minimax honBallot compBallot select21 0.9656280 0.0080000 0.007874218 0.03104040 0.000000000 +48: Minimax honBallot lowInfoBallot select21 0.9656280 0.1960000 0.045801265 0.40772016 -0.132504569 +49: Minimax honBallot diehardBallot select31 0.9656280 0.7480000 -0.238031437 0.65796895 -0.867430939 +50: Minimax honBallot compBallot select31 0.9656280 0.0140000 0.007258423 0.03541334 0.000000000 +51: Minimax honBallot lowInfoBallot select31 0.9656280 0.1480000 0.005049332 0.26951054 -0.104620009 +52: Minimax honBallot diehardBallot selectRand 0.9656280 0.1080000 -0.022664884 0.09997565 -0.109828354 +53: Minimax honBallot compBallot selectRand 0.9656280 0.3380000 -0.290661500 0.52103719 -0.996700912 +54: Minimax honBallot lowInfoBallot selectRand 0.9656280 0.1820000 -0.127480146 0.25229441 -0.702532866 +method backgroundStrat fgStrat fgTargets vse fgMatters totalStratUtilDiff fgHelpedUtilDiff fgHarmedUtilDiff diff --git a/Untitled.ipynb b/Untitled.ipynb new file mode 100644 index 0000000..a5e4dde --- /dev/null +++ b/Untitled.ipynb @@ -0,0 +1,205 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from vse import CsvBatch, baseRuns, Mav, medianRuns, Score" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from voterModels import PolyaModel, KSModel" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "csvs2 = CsvBatch(\n", + " KSModel(), [[Score(), baseRuns], [Mav(), medianRuns]], nvot=5, ncand=6, niter=1\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "csvs2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "csvs2.saveFile()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# Install a conda package in the current Jupyter kernel\n", + "import sys\n", + "\n", + "!{sys.executable} -m pip install autograd_minimize" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import torch\n", + "from autograd_minimize import minimize\n", + "from scipy.optimize import fmin\n", + "\n", + "from scipy.stats import beta\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def marginToBetaSize(twosig):\n", + " \"\"\"Takes x, and returns a sample size n such that 2*stdev(beta(n/2,n/2))=x\"\"\"\n", + " return (1 / (twosig**2)) - 1\n", + "\n", + "\n", + "def multi_beta_probs_of_highest(parms):\n", + " \"\"\"Given a list of beta distribution params, returns a quick-and-dirty\n", + " approximation of the chance that each respective beta is the max across\n", + " all of them.\"\"\"\n", + "\n", + " betas = [beta(*parm) for parm in parms]\n", + "\n", + " def multi_beta_cdf_loss(x):\n", + " \"\"\"Given x, return the loss which (when minimized) leads x to be\n", + " the median of the max when drawing one sample from each of the betas.\"\"\"\n", + "\n", + " p = 1.0\n", + " for beta in betas:\n", + " p = p * (beta.cdf(x))\n", + " return (0.5 - p) ** 2\n", + "\n", + " res = fmin(multi_beta_cdf_loss, np.array([0.5]), disp=False)[0]\n", + "\n", + " probs = np.array([1 - beta.cdf(res) for beta in betas])\n", + " probs = probs / np.sum(probs)\n", + " return probs\n", + "\n", + "\n", + "def principledPollsToProbs(polls, uncertainty=0.05):\n", + " \"\"\"Takes approval-style polling as input i.e. a list of floats in the interval [0,1],\n", + " and returns a list of the estimated probabilities of each candidate winning based on\n", + " uncertainty. Uncertainty is a float that corresponds to one standard deviation for\n", + " a candidate that polls exactly 0.5.\n", + "\n", + " #>>> pollsToProbs([.5,.4,.4],.1)\n", + " #[0.5, 0.25, 0.25]\n", + " \"\"\"\n", + " betaSize = marginToBetaSize(uncertainty)\n", + " parms = [(betaSize * poll, betaSize * (1 - poll)) for poll in polls]\n", + " return multi_beta_probs_of_highest(parms)\n", + "\n", + "\n", + "b = principledPollsToProbs([0.5, 0.45, 0.45], 0.1)\n", + "b" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "res" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from dataClasses import principledPollsToProbs" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import dataClasses" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.92336235, 0.03831882, 0.03831882])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = principledPollsToProbs([0.5, 0.4, 0.4], 0.1)\n", + "a" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/__init__.py b/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/ballotEval.py b/ballotEval.py new file mode 100644 index 0000000..9d958f4 --- /dev/null +++ b/ballotEval.py @@ -0,0 +1,40 @@ +from methods import * +from voterModels import * +from stratFunctions import * + + +def stratStats( + model, + strat, + nvot, + ncand, + niter, + stratArgs=None, + numWinners=1, + pollingError=0.2, + usePolls=True, + pickiness=0.7, + pollFilter=None, +): + if stratArgs is None: + stratArgs = {} + bulletCount, totalScore = 0, 0 + for _ in range(niter): + electorate = model(nvot, ncand) + if usePolls: + pollBallots = [ + Approval.zeroInfoBallot(v, pickiness=pickiness) for v in electorate + ] + polls = noisyMedia(Approval.results(pollBallots), pollingError) + else: + polls = None + ballots = [ + strat(voter, electabilities=polls, numWinners=numWinners, **stratArgs) + for voter in electorate + ] + for ballot in ballots: + ballotSum = sum(ballot) + totalScore += ballotSum + if ballotSum == max(ballot): + bulletCount += 1 + return bulletCount / (nvot * niter), totalScore / (nvot * ncand * niter) diff --git a/brochureVSE.svg b/brochureVSE.svg deleted file mode 100644 index b6dedd3..0000000 --- a/brochureVSE.svg +++ /dev/null @@ -1,242 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/cid.py b/cid.py new file mode 100644 index 0000000..a9aaa90 --- /dev/null +++ b/cid.py @@ -0,0 +1,525 @@ +"""Candidate Incentive Distribution""" +import random +import time +import csv +import os +import multiprocessing +import re +import matplotlib.pyplot as plt +import matplotlib.ticker as mtick +from numpy.core.fromnumeric import mean, std + +from mydecorators import * +from methods import * +from mwmethods import * +from voterModels import * +from dataClasses import * +from debugDump import * + + +class candAffinity: + """ + >>> c = candAffinity([[0,1,2]]*3+[[0,2,1]]*3+[[2,1,0]]*4) + >>> c.score([0,1,2],0) + 0.2 + >>> c.score([0,1,2],1) + 0.55 + >>> c.score([0,1,2],2) + 0.85 + """ + + def __init__(self, voters): + self.candSupport = Plurality.results(Plurality.honBallot(v) for v in voters) + + def score(self, voter, candIndex): + """ + Gives a number from 0 to 1; higher numbers show greater support for the candidate from the voter + """ + myUtil = voter[candIndex] + return ( + sum((sign(myUtil - u) + 1) * s for u, s in zip(voter, self.candSupport)) / 2 + ) + + +class utilDeviation: + def __init__(self, voters, **kw): + pass + + def score(self, voter, candIndex): + return voter[candIndex] - mean(voter) + + +class normalizedUtilDeviation: + def __init__(self, voters, **kw): + pass + + def score(self, voter, candIndex): + return (voter[candIndex] - mean(voter)) / std(voter) + + +class devFromTop: + """ + >>> devFromTop(1).score([0,3,10,5], 1) + -7 + >>> devFromTop(1).score([0,3,10,5], 2) + 5 + """ + + def __init__(self, voters, **kw): + pass + + def score(self, voter, candIndex): + otherBest = max(util for i, util in enumerate(voter) if i != candIndex) + return voter[candIndex] - otherBest + + +class normDevFromTop: + """ + >>> normDevFromTop(1).score([0,3,10,5], 0) + -1.0 + >>> normDevFromTop(1).score([0,3,10,5], 1) + -0.7 + >>> normDevFromTop(1).score([0,3,10,5], 2) + 0.5 + """ + + def __init__(self, voters, **kw): + pass + + def score(self, voter, candIndex): + otherBest = max(util for i, util in enumerate(voter) if i != candIndex) + return (voter[candIndex] - otherBest) / (max(voter) - min(voter)) + + +class weightedUtilDev: + """ + Like normalizedUtilDeviation, but weights the means and standard + >>> chdh = [Voter(us) for us in [[10,9,1,0]]*10+[[9,10,1,0]]*9+[[0,1,10,2]]*15+[[0,1,2,20]]] + >>> wcd = weightedUtilDev(chdh) + >>> wcd.score(chdh[0], 0) + 0.23824257425742565 + >>> wcd.score(chdh[0], 1) + 0.18409653465346526 + >>> wcd.score(chdh[0], 2) + -0.24907178217821788 + >>> wcd.score(chdh[0], 3) + -0.30321782178217827 + >>> wcd.score(chdh[-1], 0) + -0.15965671872583886 + >>> wcd.score(chdh[-1], 1) + -0.06494510592237515 + >>> wcd.score(chdh[-1], 2) + 0.02976650688108858 + >>> wcd.score(chdh[-1], 3) + 1.7345755373434355 + >>> ch = [Voter(us) for us in [[10,9,1]]*10+[[9,10,1]]*9+[[0,1,10]]*15] + >>> wc = weightedUtilDev(ch) + >>> wc.score(ch[0],0) + 0.23448275862068957 + >>> wc.score(ch[0],2) + -0.2637931034482759 + """ + + def __init__( + self, voters, strat=Plurality.honBallot, method=Plurality, stratArgs=None + ): + if stratArgs is None: + stratArgs = {} + unnormalizedSupport = method.results(strat(v, **stratArgs) for v in voters) + normFactor = sum(unnormalizedSupport) + self.candSupport = [s / normFactor for s in unnormalizedSupport] + self.scores = {} + for voter in voters: + wmean = sum(util * self.candSupport[i] for i, util in enumerate(voter)) + wstd = sum(s * (u - wmean) ** 2 for s, u in zip(self.candSupport, voter)) + self.scores[voter.id] = [(util - wmean) / wstd for util in voter] + + def score(self, voter, candIndex): + return self.scores[voter.id][candIndex] + + +def influentialBlocs( + voters, + method, + numWinners=1, + utilChange=0.1, + numBuckets=5, + sorter=normalizedUtilDeviation, + strat=None, + stratArgs=None, + pollingMethod=Approval, + pollingStrat=Approval.zeroInfoBallot, + pollingStratArgs=None, + pollAfterPert=False, + media=noisyMedia, + pollingError=0.2, + sorterArgs=None, +): + """ + Uses voters as the base electorate to determine whether candidates have an incentive to appeal + to various voting blocs, where the voting blocs are determined by ranking voters according to sorter + and placing them in numBuckets equally (if numBuckets divides the number of voters) large blocs. + + If strat is None, the voters will use method.honBallot and no polling will be performed. + Otherwise, voters will use strat with stratArgs and polls determined by the relevant arguments. + Polling uses Approval Voting by default; it can also be set to None to use the voting method in the election + or to an arbitrary voting method. Polling is then randomly perturbed according to pollingError. + + >>> influentialBlocs([Voter([0,1,2])]*3+[Voter([0,2,1])]*3+[Voter([2,1,0])]*4, Plurality, utilChange = 1.5) + ([[0, 0, 0, 1, 1], [1, 1, 1, 0, 0], [0, 0, 1, 0, 0]], [0], [0.4, 0.3, 0.3]) + """ + if stratArgs is None: + stratArgs = {} + if pollingStratArgs is None: + pollingStratArgs = {"pickiness": 0.7} + if sorterArgs is None: + sorterArgs = {} + numCands = len(voters[0]) + numVoters = len(voters) + if strat is None: + strat = method.honBallot + polls = None + baseBallots = [method.honBallot(v) for v in voters] + else: + if pollingMethod is None: + pollingMethod = method + pollingStrat = method.honBallot + basePollBallots = [ + pollingStrat(v, numWinners=numWinners, **pollingStratArgs) for v in voters + ] + pollErrors = [random.gauss(0, pollingError / 2) for _ in range(numCands)] + polls = [ + min(1, max(0, r + e)) + for r, e in zip(pollingMethod.results(basePollBallots), pollErrors) + ] + # polls = media(pollingMethod.results(pollBallots), pollingError) #method.results can't depend on numWinners; this may need to be changed + baseBallots = [ + strat( + v, polls=polls, electabilities=polls, numWinners=numWinners, **stratArgs + ) + for v in voters + ] + if isinstance(sorter, type): + sorter = sorter(voters) + baseWinners = method.winnerSet(baseBallots, numWinners) + baseResults = method.results(baseBallots) + isIncentive = [[] for _ in range(numCands)] + # isIncentive[c][b] is 1 if candidate c is incentivized to appeal to the bth bucket of voters, 0 otherwise + for cand in range(numCands): + utilShifts = [0] * numCands + utilShifts[cand] = -utilChange if cand in baseWinners else utilChange + sVoters, sBallots = zip( + *sorted(zip(voters, baseBallots), key=lambda x: sorter.score(x[0], cand)) + ) + sortedVoters, sortedBallots = list(sVoters), list(sBallots) + for b in range(numBuckets): + if pollAfterPert: + firstVoters = sortedVoters[: int(b * numVoters / numBuckets)] + lastVoters = sortedVoters[int((b + 1) * numVoters / numBuckets) :] + newPollBallots = [ + pollingStrat( + v.addUtils(utilShifts), + numWinners=numWinners, + **pollingStratArgs, + ) + for v in sortedVoters[ + int(b * numVoters / numBuckets) : int( + (b + 1) * numVoters / numBuckets + ) + ] + ] + noiselessPolls = pollingMethod.results( + [ + pollingStrat(v, numWinners=numWinners, **pollingStratArgs) + for v in firstVoters + ] + + newPollBallots + + [ + pollingStrat(v, numWinners=numWinners, **pollingStratArgs) + for v in lastVoters + ] + ) + polls = [ + min(1, max(0, r + e)) for r, e in zip(noiselessPolls, pollErrors) + ] + newBallots = [ + strat( + v.addUtils(utilShifts), + polls=polls, + electabilities=polls, + numWinners=numWinners, + **stratArgs, + ) + for v in sortedVoters[ + int(b * numVoters / numBuckets) : int( + (b + 1) * numVoters / numBuckets + ) + ] + ] + if pollAfterPert: + ballots = ( + [ + strat( + v, + polls=polls, + electabilities=polls, + numWinners=numWinners, + **stratArgs, + ) + for v in firstVoters + ] + + newBallots + + [ + strat( + v, + polls=polls, + electabilities=polls, + numWinners=numWinners, + **stratArgs, + ) + for v in lastVoters + ] + ) + else: + ballots = ( + sortedBallots[: int(b * numVoters / numBuckets)] + + newBallots + + sortedBallots[int((b + 1) * numVoters / numBuckets) :] + ) + newWinners = method.winnerSet(ballots, numWinners=numWinners) + if (cand in baseWinners and cand not in newWinners) or ( + cand not in baseWinners and cand in newWinners + ): + isIncentive[cand].append(1) + else: + isIncentive[cand].append(0) + return isIncentive, baseWinners, baseResults + + +class CID: + @autoassign + def __init__( + self, + model, + methodsAndStrats, + nvot, + ncand, + niter, + nwinners=1, + numBuckets=24, + sorter=normalizedUtilDeviation, + utilChange=0.1, + media=noisyMedia, + pollingMethod=Approval, + pollingError=0.2, + pollAfterPert=False, + seed=None, + ): + """methodsAndStrats is a list of (votingMethod, strat, stratArgs); stratArgs is optional. + A voting method may be given in place of such a tuple, in which case honBallot will be used. + nvot and ncand give the number of voters and candidates in each election, and niter is how many + electorates will be generated and have all the methods and strategies run on them. + + >>> cid = CID(KSModel(), [Plurality, Irv, Approval, STAR, Minimax], 25, 6, 1) + """ + if seed is None: + seed = time.time() + self.seed = seed + random.seed(seed) + ms = [] + for m in methodsAndStrats: + if isinstance(m, type): + ms.append((m, m.honBallot, {})) + elif len(m) == 2: + ms.append((m[0], m[1], {})) + else: + ms.append(m) + self.mNames = [f"{m[0].__name__}:{m[1].__name__}{str(m[2])}" for m in ms] + self.rows = [] + args = ( + model, + nvot, + ncand, + ms, + nwinners, + utilChange, + numBuckets, + sorter, + pollingMethod, + pollingError, + pollAfterPert, + ) + with multiprocessing.Pool(processes=7) as pool: + results = pool.starmap( + simOneElectorate, [args + (seed, i) for i in range(niter)] + ) + for result in results: + self.rows.extend(result) + + def summarize(self): + nb = len(self.rows[0]["incentives"]) # number of buckets + winnerIncents = {name: [0] * nb for name in self.mNames} + loserIncents = {name: [0] * nb for name in self.mNames} + allIncents = {name: [0] * nb for name in self.mNames} + for row in self.rows: + name = row["method"] + ":" + row["strat"] + str(row["stratArgs"]) + for i in range(nb): + if row["isWinner"]: + winnerIncents[name][i] += row["incentives"][i] + else: + loserIncents[name][i] += row["incentives"][i] + allIncents[name][i] += row["incentives"][i] + incentFracts = { + name: [i * self.numBuckets / sum(incents) for i in incents] + for name, incents in allIncents.items() + } + return incentFracts, allIncents, loserIncents, winnerIncents + + def chart(self, methodOnly=True): + fig, ax = plt.subplots() + incentFracts = self.summarize()[0] + if methodOnly: + incentFracts = { + re.match(".*(?=:)", name)[0]: data + for name, data in incentFracts.items() + } + for name, data in incentFracts.items(): + ax.plot( + [i / self.numBuckets for i in range(1, self.numBuckets + 1)], + data, + label=name, + ) + # ax.set_xlim(1, self.numBuckets) + ax.set_xlabel("Voter's support for candidate") + ax.set_ylabel("Candidate's incentive to appeal to voter") + ax.grid(True) + ax.legend() + plt.show() + + def saveFile(self, baseName="cidResults", newFile=True): + """Prints the aggregated simulation results in an accessible format.""" + i = 1 + if newFile: + while os.path.isfile(baseName + str(i) + ".csv"): + i += 1 + + universalInfo = { + "nVoters": self.nvot, + "nCands": self.ncand, + "iterations": self.niter, + "winners": self.nwinners, + "model": str(self.model), + "sorter": self.sorter.__name__, + "numBuckets": self.numBuckets, + "utilChange": self.utilChange, + "pollingMethod": self.pollingMethod.__name__, + "pollingError": self.pollingError, + } + fields = ( + ["name", "baseResult"] + + list(range(self.numBuckets)) + + list(universalInfo.keys()) + ) + resultTypeIndices = {"all": 1, "loss": 2, "win": 3} + + with open(baseName + (str(i) if newFile else "") + ".csv", "w") as myFile: + dw = csv.DictWriter(myFile, fields, restval="data missing") + dw.writeheader() + for outcome, index in resultTypeIndices.items(): + for name, results in self.summarize()[index].items(): + row = ( + {"name": name, "baseResult": outcome} + | enumerate(results) + | universalInfo + ) + dw.writerow(row) + + +def simOneElectorate( + model, + nvot, + ncand, + ms, + nwinners, + utilChange, + numBuckets, + sorter, + pollingMethod, + pollingError, + pollAfterPert, + baseSeed=None, + i=0, +): + if i > 0 and i % 100 == 0: + print("Iteration:", i) + if baseSeed is not None: + random.seed(baseSeed + i) + + electorate = model(nvot, ncand) + results = [] + for method, strat, stratArgs in ms: + allIncentives, baseWinners, baseResults = influentialBlocs( + electorate, + method, + nwinners, + utilChange, + numBuckets, + sorter, + strat, + stratArgs, + pollingMethod, + pollAfterPert=pollAfterPert, + pollingError=pollingError, + ) + results.extend( + dict( + incentives=candIncentives, + isWinner=i in baseWinners, + method=method.__name__, + strat=strat.__name__, + stratArgs=stratArgs, + voterModel=str(model), + ) + for i, candIncentives in enumerate(allIncentives) + ) + return results + + +def showChart( + fileName, norm=1, methodOnly=True, forResult="all", percentages=True, wholeOnly=True +): + with open(fileName) as file: + reader = csv.DictReader(file) + fig, ax = plt.subplots() + for row in reader: + if row["baseResult"] != forResult: + continue + buckets = int(row["numBuckets"]) + rawData = [float(row[str(i)]) for i in range(buckets)] + if norm == 1: + normFactor = sum(rawData) / buckets + elif norm == "max": + normFactor = max(rawData) + data = [d / normFactor for d in rawData] + name = re.match(".*(?=:)", row["name"])[0] if methodOnly else row["name"] + ax.plot( + [(i + 0.5) * 100 / buckets for i in range(buckets)], data, label=name + ) + ax.set_xlabel("Voter's support for candidate") + ax.set_ylabel("Candidate's incentive to appeal to voter") + if percentages: + ax.xaxis.set_major_formatter(mtick.FormatStrFormatter("%.0f%%")) + + def yFormatFunc(value, position): + if value == 1: + return "Average" + if value == 0: + return "0" + if wholeOnly: + return "" if value % 1 != 0 else f"{int(value)}x Avg" + return f"{value:1.1f}x Avg" + + ax.yaxis.set_major_formatter(mtick.FuncFormatter(yFormatFunc)) + ax.grid(True) + ax.legend() + plt.show() diff --git a/cid_results/approvalStrats.png b/cid_results/approvalStrats.png new file mode 100644 index 0000000..539c096 Binary files /dev/null and b/cid_results/approvalStrats.png differ diff --git a/cid_results/basemw.png b/cid_results/basemw.png new file mode 100644 index 0000000..76f193a Binary files /dev/null and b/cid_results/basemw.png differ diff --git a/cid_results/basesw.png b/cid_results/basesw.png new file mode 100644 index 0000000..5bd56c2 Binary files /dev/null and b/cid_results/basesw.png differ diff --git a/cid_results/baseswMaxNorm.png b/cid_results/baseswMaxNorm.png new file mode 100644 index 0000000..31f3183 Binary files /dev/null and b/cid_results/baseswMaxNorm.png differ diff --git a/cid_results/mw20cand.png b/cid_results/mw20cand.png new file mode 100644 index 0000000..3d89f3f Binary files /dev/null and b/cid_results/mw20cand.png differ diff --git a/cid_results/othermw.png b/cid_results/othermw.png new file mode 100644 index 0000000..ae43082 Binary files /dev/null and b/cid_results/othermw.png differ diff --git a/cid_results/randomElections.png b/cid_results/randomElections.png new file mode 100644 index 0000000..fae0715 Binary files /dev/null and b/cid_results/randomElections.png differ diff --git a/cid_results/resultLog.txt b/cid_results/resultLog.txt new file mode 100644 index 0000000..3f2c884 --- /dev/null +++ b/cid_results/resultLog.txt @@ -0,0 +1,37 @@ +basemw: +({'SNTV:honBallot{}': [0.0014663652471436426, 0.0, 0.0007331826235718213, 0.0014663652471436426, 0.004399095741430928, 0.008798191482861857, 0.006598643612146392, 0.013930469847864606, 0.02272866133072646, 0.03519276593144743, 0.0549886967678866, 0.10411193254719864, 0.15543471619722612, 0.21775523920083095, 0.336530824219466, 0.5278914889717113, 0.7287835278303905, 1.1071057615934503, 1.6767886601087554, 2.5602737215128, 4.096291317895766, 5.840532779373129, 4.4027616545487875, 2.0954359381682655], 'STV:honBallot{}': [0.07497196561114967, 0.07240882148769157, 0.06279703102472366, 0.07497196561114967, 0.08842847225930475, 0.10572969509264699, 0.11854541570993753, 0.1320019223580926, 0.15314786137662198, 0.20120681369146154, 0.23324611523468788, 0.2960431462594115, 0.35948096331499974, 0.45944358412986597, 0.6407860308645271, 0.8278955518769691, 1.0899770385005607, 1.473167084957548, 1.9755433331553371, 2.895712073476798, 3.5339349602178673, 3.933785443477332, 3.2718534735942755, 1.9249212367170396], 'AllocatedScore:honBallot{}': [1.0707632868017387, 1.087873421797024, 1.0531012119678955, 1.005634385851942, 0.9465768231262792, 0.9062852149115747, 0.8886231400777316, 0.8538509302486029, 0.826253938320723, 0.8400524342846629, 0.8659936066968701, 0.8891750799162891, 0.8974541774946531, 0.9570636800588735, 0.9857645516638687, 1.019432881815882, 1.044270174550974, 1.0293677989099188, 1.0232964606857853, 0.9769335142469471, 0.9885242508566566, 1.0829059632500058, 1.2457282156244969, 1.5150748568406043], 'SequentialMonroe:honBallot{}': [0.6714431934493347, 0.6271298693479439, 0.5895598771750256, 0.5741465470528027, 0.5727015473538443, 0.6025648744656511, 0.611716539225721, 0.6497681979649588, 0.6858931904389186, 0.7128665181528088, 0.777409838039617, 0.8395448250948281, 0.8886748148594136, 0.9903064603528208, 1.0596664459028238, 1.1945330844722741, 1.2691914022517912, 1.3467397194292252, 1.4040580408212415, 1.4334397013667288, 1.4758263592028418, 1.5398880125233307, 1.6660846528990307, 1.8168462881570233]}, {'SNTV:honBallot{}': [2, 0, 1, 2, 6, 12, 9, 19, 31, 48, 75, 142, 212, 297, 459, 720, 994, 1510, 2287, 3492, 5587, 7966, 6005, 2858], 'STV:honBallot{}': [117, 113, 98, 117, 138, 165, 185, 206, 239, 314, 364, 462, 561, 717, 1000, 1292, 1701, 2299, 3083, 4519, 5515, 6139, 5106, 3004], 'AllocatedScore:honBallot{}': [1940, 1971, 1908, 1822, 1715, 1642, 1610, 1547, 1497, 1522, 1569, 1611, 1626, 1734, 1786, 1847, 1892, 1865, 1854, 1770, 1791, 1962, 2257, 2745], 'SequentialMonroe:honBallot{}': [1394, 1302, 1224, 1192, 1189, 1251, 1270, 1349, 1424, 1480, 1614, 1743, 1845, 2056, 2200, 2480, 2635, 2796, 2915, 2976, 3064, 3197, 3459, 3772]}, {'SNTV:honBallot{}': [2, 0, 1, 2, 6, 12, 9, 18, 30, 45, 74, 140, 204, 279, 419, 640, 886, 1289, 1918, 2690, 3771, 4454, 2535, 713], 'STV:honBallot{}': [79, 75, 64, 86, 92, 113, 125, 142, 171, 235, 263, 344, 422, 543, 760, 970, 1241, 1656, 2196, 2985, 3353, 3261, 2208, 802], 'AllocatedScore:honBallot{}': [1011, 1013, 972, 953, 884, 854, 834, 794, 774, 776, 784, 821, 833, 863, 846, 914, 900, 863, 837, 808, 867, 1045, 1324, 1594], 'SequentialMonroe:honBallot{}': [700, 677, 637, 611, 635, 670, 694, 743, 778, 825, 900, 936, 1036, 1132, 1208, 1320, 1396, 1439, 1486, 1543, 1571, 1693, 1887, 2029]}, {'SNTV:honBallot{}': [0, 0, 0, 0, 0, 0, 0, 1, 1, 3, 1, 2, 8, 18, 40, 80, 108, 221, 369, 802, 1816, 3512, 3470, 2145], 'STV:honBallot{}': [38, 38, 34, 31, 46, 52, 60, 64, 68, 79, 101, 118, 139, 174, 240, 322, 460, 643, 887, 1534, 2162, 2878, 2898, 2202], 'AllocatedScore:honBallot{}': [929, 958, 936, 869, 831, 788, 776, 753, 723, 746, 785, 790, 793, 871, 940, 933, 992, 1002, 1017, 962, 924, 917, 933, 1151], 'SequentialMonroe:honBallot{}': [694, 625, 587, 581, 554, 581, 576, 606, 646, 655, 714, 807, 809, 924, 992, 1160, 1239, 1357, 1429, 1433, 1493, 1504, 1572, 1743]}) +basesw: +({'Plurality:honBallot{}': [0.008125035264910005, 0.008125035264910005, 0.0054166901766066694, 0.010833380353213339, 0.017604243073971675, 0.018958415618123343, 0.05416690176606669, 0.08666704282570671, 0.14218811713592508, 0.23427185013823845, 0.3236472380522485, 0.5023980138802686, 0.765107487445692, 1.0576087569824522, 1.5897985668340575, 2.364385262088811, 3.1606387180499915, 3.776787225639, 3.4219940190712634, 2.5471985555492864, 1.6669864018507026, 1.1144840038368222, 0.6973988602381087, 0.42521017886362356], 'PluralityTop2:honBallot{}': [0.185143710339679, 0.17319895483389325, 0.1871345029239766, 0.19808386213761353, 0.24287669528431008, 0.24486748786860768, 0.285678735846709, 0.3125544357347269, 0.36929202438720915, 0.4817718054000249, 0.5932561901206918, 0.8709717556302102, 1.1865123802413835, 1.2392683837252707, 1.4234166977728009, 1.7737961926091825, 2.0893368172203557, 2.480527560034839, 2.6069428891377378, 2.4855045414955828, 1.8812989921612542, 1.3368172203558542, 0.8381236779892995, 0.5136244867487869], 'IRV:honBallot{}': [0.25086403102082105, 0.25389867655736326, 0.2640141616791705, 0.2731180982887971, 0.3166146843125685, 0.3611228188485206, 0.42990811767681025, 0.48250864031020824, 0.5502823906263171, 0.6838067942341735, 0.8749894630363314, 1.2219506027143219, 1.4020062378824918, 1.3767175250779735, 1.4981033465396612, 1.6508471718789515, 1.8946303633145072, 1.9644272106549776, 1.9533001770209897, 1.9087920424850375, 1.6771474331956504, 1.2917474500547923, 0.8749894630363314, 0.5442130995532327], 'Approval:zeroInfoBallot{}': [0.09905316824471959, 0.11750424860403011, 0.22432629278951202, 0.34765719834911385, 0.5243991260014567, 0.7302743384316581, 0.9672250546249089, 1.1731002670551105, 1.5081330420004855, 1.7625637290604517, 2.0160233066278224, 2.2218985190580236, 2.162660840009711, 1.9927166788055353, 1.6324350570526827, 1.2303957271182326, 0.9293517844136926, 0.7652342801650887, 0.6603544549647973, 0.6234522942461762, 0.5846079145423646, 0.5593590677348871, 0.5671279436756494, 0.6001456664238893], 'ApprovalTop2:zeroInfoBallot{}': [0.41168786524578893, 0.44963905122035064, 0.5032657270539704, 0.5758679958748711, 0.6913716053626676, 0.7276727397731179, 0.815125472671021, 0.9479546235819869, 1.091509109659677, 1.2655895496734273, 1.4198693709178412, 1.6071502234444826, 1.717703678239945, 1.688827775867996, 1.5279477483671364, 1.4281196287383982, 1.2680646270195943, 1.1055345479546237, 1.027157098659333, 0.9166036438638707, 0.8638019938123066, 0.7293227913372293, 0.6591955998624957, 0.5610175317978687], 'STAR:honBallot{}': [0.912235909874258, 0.9405757324312248, 0.9865322014425225, 1.055466904959469, 1.0929980213186954, 1.0929980213186954, 1.138954490329993, 1.123635667326227, 1.1473798429820643, 1.1971660177443033, 1.2362290164039063, 1.2048254292461862, 1.144316078381311, 1.0853386098168125, 1.0447437288568329, 1.0018510244462884, 0.9528307908342376, 0.932916320929342, 0.8984489691708687, 0.8180251484010979, 0.7919831492946958, 0.7758983851407417, 0.7268781515286908, 0.6977723878215357], 'Minimax:honBallot{}': [0.7085261070720423, 0.7561136814276272, 0.8005287508261731, 0.8301387970918704, 0.8904163912756113, 0.8682088565763384, 0.927428949107733, 0.9454064771976206, 0.9580964970257766, 1.055386649041639, 1.1050892267019168, 1.2541969596827496, 1.3049570389953735, 1.2700594844679445, 1.2668869795109055, 1.2626569729015202, 1.2510244547257106, 1.269001982815598, 1.1748843357567746, 1.1114342366159946, 1.0226040978189028, 0.8449438202247191, 0.6736285525446134, 0.4483807005948447]}, {'Plurality:honBallot{}': [6, 6, 4, 8, 13, 14, 40, 64, 105, 173, 239, 371, 565, 781, 1174, 1746, 2334, 2789, 2527, 1881, 1231, 823, 515, 314], 'PluralityTop2:honBallot{}': [186, 174, 188, 199, 244, 246, 287, 314, 371, 484, 596, 875, 1192, 1245, 1430, 1782, 2099, 2492, 2619, 2497, 1890, 1343, 842, 516], 'IRV:honBallot{}': [248, 251, 261, 270, 313, 357, 425, 477, 544, 676, 865, 1208, 1386, 1361, 1481, 1632, 1873, 1942, 1931, 1887, 1658, 1277, 865, 538], 'Approval:zeroInfoBallot{}': [102, 121, 231, 358, 540, 752, 996, 1208, 1553, 1815, 2076, 2288, 2227, 2052, 1681, 1267, 957, 788, 680, 642, 602, 576, 584, 618], 'ApprovalTop2:zeroInfoBallot{}': [499, 545, 610, 698, 838, 882, 988, 1149, 1323, 1534, 1721, 1948, 2082, 2047, 1852, 1731, 1537, 1340, 1245, 1111, 1047, 884, 799, 680], 'STAR:honBallot{}': [1191, 1228, 1288, 1378, 1427, 1427, 1487, 1467, 1498, 1563, 1614, 1573, 1494, 1417, 1364, 1308, 1244, 1218, 1173, 1068, 1034, 1013, 949, 911], 'Minimax:honBallot{}': [670, 715, 757, 785, 842, 821, 877, 894, 906, 998, 1045, 1186, 1234, 1201, 1198, 1194, 1183, 1200, 1111, 1051, 967, 799, 637, 424]}, {'Plurality:honBallot{}': [6, 6, 3, 7, 13, 14, 35, 61, 95, 153, 219, 324, 497, 662, 932, 1271, 1524, 1545, 1125, 657, 287, 160, 69, 25], 'PluralityTop2:honBallot{}': [115, 111, 103, 115, 144, 151, 182, 218, 244, 321, 414, 608, 791, 875, 980, 1225, 1360, 1458, 1350, 1090, 653, 341, 157, 63], 'IRV:honBallot{}': [163, 163, 151, 172, 196, 225, 285, 329, 354, 431, 568, 752, 849, 813, 897, 986, 1062, 1041, 930, 821, 652, 390, 189, 68], 'Approval:zeroInfoBallot{}': [66, 95, 174, 269, 388, 539, 701, 810, 999, 1103, 1181, 1175, 993, 745, 466, 289, 234, 219, 221, 242, 265, 261, 283, 284], 'ApprovalTop2:zeroInfoBallot{}': [296, 332, 359, 415, 505, 551, 636, 727, 819, 945, 1051, 1113, 1112, 970, 801, 685, 580, 496, 466, 427, 413, 320, 292, 244], 'STAR:honBallot{}': [665, 688, 706, 743, 769, 794, 802, 790, 811, 822, 823, 768, 693, 625, 586, 566, 517, 516, 493, 437, 451, 455, 434, 419], 'Minimax:honBallot{}': [390, 422, 424, 464, 487, 480, 522, 526, 511, 570, 616, 666, 672, 638, 620, 611, 578, 560, 481, 453, 370, 270, 174, 69]}, {'Plurality:honBallot{}': [0, 0, 1, 1, 0, 0, 5, 3, 10, 20, 20, 47, 68, 119, 242, 475, 810, 1244, 1402, 1224, 944, 663, 446, 289], 'PluralityTop2:honBallot{}': [71, 63, 85, 84, 100, 95, 105, 96, 127, 163, 182, 267, 401, 370, 450, 557, 739, 1034, 1269, 1407, 1237, 1002, 685, 453], 'IRV:honBallot{}': [85, 88, 110, 98, 117, 132, 140, 148, 190, 245, 297, 456, 537, 548, 584, 646, 811, 901, 1001, 1066, 1006, 887, 676, 470], 'Approval:zeroInfoBallot{}': [36, 26, 57, 89, 152, 213, 295, 398, 554, 712, 895, 1113, 1234, 1307, 1215, 978, 723, 569, 459, 400, 337, 315, 301, 334], 'ApprovalTop2:zeroInfoBallot{}': [203, 213, 251, 283, 333, 331, 352, 422, 504, 589, 670, 835, 970, 1077, 1051, 1046, 957, 844, 779, 684, 634, 564, 507, 436], 'STAR:honBallot{}': [526, 540, 582, 635, 658, 633, 685, 677, 687, 741, 791, 805, 801, 792, 778, 742, 727, 702, 680, 631, 583, 558, 515, 492], 'Minimax:honBallot{}': [280, 293, 333, 321, 355, 341, 355, 368, 395, 428, 429, 520, 562, 563, 578, 583, 605, 640, 630, 598, 597, 529, 463, 355]}) +sw12: +({'Plurality:honBallot{}': [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.008093070308548306, 0.01618614061709661, 0.024279210925644917, 0.04046535154274153, 0.08093070308548306, 0.16186140617096612, 0.2225594334850784, 0.41274658573596357, 0.6312594840667678, 0.9468892261001517, 1.5295902883156298, 2.3631765300961054, 3.1724835609509356, 4.414769853313101, 4.273141122913505, 2.9539706626201316, 1.7278705108750632, 1.0197268588770865], 'PluralityTop2:honBallot{}': [0.08658678005411674, 0.08967916505604948, 0.11132586006957866, 0.10823347506764593, 0.11441824507151141, 0.11132586006957866, 0.12678778507924238, 0.11132586006957866, 0.1453420950908388, 0.18863548511789718, 0.23192887514495555, 0.41437959025898724, 0.5628140703517588, 0.5442597603401623, 0.7267104754541941, 0.9957479706223424, 1.4255894858909934, 1.9110939311944337, 2.492462311557789, 3.3181291070738306, 3.7758020873598763, 3.1294936219559335, 2.0533436412833397, 1.2245844607653653], 'IRV:honBallot{}': [0.12164348107408605, 0.1552895503073439, 0.15011323196376578, 0.19152377871239082, 0.199288256227758, 0.20446457457133613, 0.2665803946942737, 0.3468133290197347, 0.3494014881915238, 0.5021028793270786, 0.6548042704626335, 0.9032675509543837, 1.0637334196053057, 1.0430281462309932, 1.0844386929796181, 1.3018440634098998, 1.589129731478486, 1.8945325137495956, 2.0187641539954706, 2.230993206082174, 2.32416693626658, 2.26981559365901, 1.954060174700744, 1.1802005823358137], 'Approval:zeroInfoBallot{}': [0.022614840989399292, 0.045229681978798585, 0.10459363957597173, 0.2628975265017668, 0.3901060070671378, 0.6445229681978799, 0.958303886925795, 1.3314487632508833, 1.8091872791519434, 2.0070671378091873, 2.3632508833922263, 2.583745583038869, 2.4, 2.23886925795053, 1.6989399293286218, 1.3681978798586572, 0.8706713780918728, 0.6756183745583039, 0.4890459363957597, 0.40141342756183745, 0.3363957597173145, 0.31943462897526503, 0.32226148409893995, 0.3561837455830389], 'ApprovalTop2:zeroInfoBallot{}': [0.3717769338396962, 0.38616829902058764, 0.4413351988806716, 0.5300819508295023, 0.5804517289626224, 0.7027783330001999, 0.9210473715770537, 1.134519288426944, 1.3743753747751348, 1.5014991005396763, 1.7461523086148312, 1.964421347191685, 1.8948630821507095, 1.8420947431541075, 1.6022386568059164, 1.4391365180891464, 1.0025984409354387, 0.8994603238057166, 0.7723365980411753, 0.6332200679592245, 0.6068358984609235, 0.5876474115530682, 0.537277633419948, 0.5276833899660204], 'STAR:honBallot{}': [1.0027510316368637, 1.0398899587345254, 1.1038514442916094, 1.0027510316368637, 1.0708390646492434, 1.1451169188445667, 1.1327372764786796, 1.1636863823933976, 1.1657496561210454, 1.1760660247592847, 1.2255845942228336, 1.2420907840440165, 1.1306740027510316, 1.1513067400275103, 1.1017881705639614, 1.0708390646492434, 1.0192572214580469, 0.9635488308115543, 0.8603851444291609, 0.7737276478679505, 0.7138927097661623, 0.6210453920220083, 0.5818431911966988, 0.5405777166437414], 'Minimax:honBallot{}': [0.8175740210124164, 0.8965297675899395, 0.9652976758993951, 0.9169054441260746, 0.9143584845590577, 0.9856733524355301, 0.9703915950334289, 0.9729385546004458, 0.988220312002547, 1.0340655842088506, 1.0264247055078, 0.9907672715695638, 1.0748169372811207, 1.085004775549188, 1.0748169372811207, 1.169054441260745, 1.0646290990130531, 1.1563196434256606, 1.1588666029926775, 1.1155682903533906, 1.0340655842088506, 1.0136899076727157, 0.8863419293218721, 0.6876790830945558]}, {'Plurality:honBallot{}': [0, 0, 0, 0, 0, 0, 2, 4, 6, 10, 20, 40, 55, 102, 156, 234, 378, 584, 784, 1091, 1056, 730, 427, 252], 'PluralityTop2:honBallot{}': [28, 29, 36, 35, 37, 36, 41, 36, 47, 61, 75, 134, 182, 176, 235, 322, 461, 618, 806, 1073, 1221, 1012, 664, 396], 'IRV:honBallot{}': [47, 60, 58, 74, 77, 79, 103, 134, 135, 194, 253, 349, 411, 403, 419, 503, 614, 732, 780, 862, 898, 877, 755, 456], 'Approval:zeroInfoBallot{}': [8, 16, 37, 93, 138, 228, 339, 471, 640, 710, 836, 914, 849, 792, 601, 484, 308, 239, 173, 142, 119, 113, 114, 126], 'ApprovalTop2:zeroInfoBallot{}': [155, 161, 184, 221, 242, 293, 384, 473, 573, 626, 728, 819, 790, 768, 668, 600, 418, 375, 322, 264, 253, 245, 224, 220], 'STAR:honBallot{}': [486, 504, 535, 486, 519, 555, 549, 564, 565, 570, 594, 602, 548, 558, 534, 519, 494, 467, 417, 375, 346, 301, 282, 262], 'Minimax:honBallot{}': [321, 352, 379, 360, 359, 387, 381, 382, 388, 406, 403, 389, 422, 426, 422, 459, 418, 454, 455, 438, 406, 398, 348, 270]}, {'Plurality:honBallot{}': [0, 0, 0, 0, 0, 0, 2, 4, 6, 10, 18, 37, 51, 93, 137, 204, 316, 449, 549, 653, 541, 277, 127, 50], 'PluralityTop2:honBallot{}': [15, 15, 20, 19, 23, 18, 27, 17, 29, 41, 45, 100, 127, 138, 187, 268, 370, 474, 575, 674, 690, 429, 199, 78], 'IRV:honBallot{}': [29, 38, 35, 48, 53, 52, 72, 91, 93, 132, 172, 226, 264, 249, 274, 315, 398, 476, 491, 498, 507, 436, 311, 113], 'Approval:zeroInfoBallot{}': [6, 11, 32, 80, 122, 185, 268, 358, 437, 443, 503, 483, 390, 303, 153, 110, 41, 33, 33, 46, 56, 61, 65, 76], 'ApprovalTop2:zeroInfoBallot{}': [86, 88, 106, 137, 163, 201, 270, 338, 388, 390, 460, 483, 407, 370, 255, 209, 128, 126, 119, 103, 100, 100, 94, 92], 'STAR:honBallot{}': [260, 280, 276, 248, 278, 301, 278, 286, 313, 317, 314, 304, 276, 270, 244, 224, 221, 198, 167, 143, 134, 136, 141, 162], 'Minimax:honBallot{}': [194, 207, 225, 217, 215, 222, 209, 209, 213, 215, 227, 208, 225, 221, 218, 238, 204, 231, 230, 203, 181, 158, 121, 70]}, {'Plurality:honBallot{}': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 9, 19, 30, 62, 135, 235, 438, 515, 453, 300, 202], 'PluralityTop2:honBallot{}': [13, 14, 16, 16, 14, 18, 14, 19, 18, 20, 30, 34, 55, 38, 48, 54, 91, 144, 231, 399, 531, 583, 465, 318], 'IRV:honBallot{}': [18, 22, 23, 26, 24, 27, 31, 43, 42, 62, 81, 123, 147, 154, 145, 188, 216, 256, 289, 364, 391, 441, 444, 343], 'Approval:zeroInfoBallot{}': [2, 5, 5, 13, 16, 43, 71, 113, 203, 267, 333, 431, 459, 489, 448, 374, 267, 206, 140, 96, 63, 52, 49, 50], 'ApprovalTop2:zeroInfoBallot{}': [69, 73, 78, 84, 79, 92, 114, 135, 185, 236, 268, 336, 383, 398, 413, 391, 290, 249, 203, 161, 153, 145, 130, 128], 'STAR:honBallot{}': [226, 224, 259, 238, 241, 254, 271, 278, 252, 253, 280, 298, 272, 288, 290, 295, 273, 269, 250, 232, 212, 165, 141, 100], 'Minimax:honBallot{}': [127, 145, 154, 143, 144, 165, 172, 173, 175, 191, 176, 181, 197, 205, 204, 221, 214, 223, 225, 235, 225, 240, 227, 200]}) +mw20cand: +({'SNTV:honBallot{}': [0.0, 0.0, 0.0, 0.0, 0.0028092079594225516, 0.0018728053062817011, 0.01404603979711276, 0.01872805306281701, 0.03464689816621147, 0.04775653531018338, 0.08427623878267655, 0.10768630511119781, 0.1779165040967616, 0.23597346859149435, 0.32680452594615683, 0.5131486539211861, 0.7388216933281311, 1.0927818962153726, 1.610612563402263, 2.2145922746781115, 3.2624268435427233, 4.652984783456886, 5.418962153726103, 3.4431525555989073], 'STV:honBallot{}': [0.02688419117647059, 0.031020220588235295, 0.031020220588235295, 0.04480698529411765, 0.047564338235294115, 0.06066176470588235, 0.07720588235294118, 0.09926470588235294, 0.11649816176470588, 0.15992647058823528, 0.20473345588235295, 0.2578125, 0.3577665441176471, 0.4577205882352941, 0.6038602941176471, 0.7465533088235294, 1.0326286764705883, 1.40625, 1.8991268382352942, 2.547794117647059, 3.157169117647059, 3.8051470588235294, 3.984375, 2.8442095588235294], 'AllocatedScore:honBallot{}': [1.396492961224994, 1.2678686095332181, 1.1842924178809582, 1.0639664114596197, 0.9958014324524574, 0.9460113608298345, 0.8885156828846629, 0.8582859965423562, 0.8399110891578168, 0.8286490491479378, 0.8476166954803656, 0.8725117312916769, 0.8594714744381329, 0.9406767102988393, 0.9750555692763645, 1.0313657693257594, 1.0704865398863916, 1.09656705359348, 1.0853050135836009, 1.0509261546060755, 1.0153618177327735, 0.9643862682143739, 0.9045196344776488, 1.0159545566806618], 'SequentialMonroe:honBallot{}': [0.7304077937753255, 0.6569531856194499, 0.636261746702302, 0.6083283041641521, 0.5969480127597206, 0.6248814552978705, 0.6641951892404517, 0.687990343995172, 0.70868178291232, 0.7676523838261919, 0.7490300888007587, 0.8576601431157859, 0.9393913268385206, 0.9683593413225278, 1.0645745322872662, 1.0883696870419863, 1.2518320544874557, 1.3345978101560478, 1.3894301232864903, 1.401844986636779, 1.429778429174929, 1.4059832744202085, 1.5818605052159669, 1.854987498922321]}, {'SNTV:honBallot{}': [0, 0, 0, 0, 3, 2, 15, 20, 37, 51, 90, 115, 190, 252, 349, 548, 789, 1167, 1720, 2365, 3484, 4969, 5787, 3677], 'STV:honBallot{}': [39, 45, 45, 65, 69, 88, 112, 144, 169, 232, 297, 374, 519, 664, 876, 1083, 1498, 2040, 2755, 3696, 4580, 5520, 5780, 4126], 'AllocatedScore:honBallot{}': [2356, 2139, 1998, 1795, 1680, 1596, 1499, 1448, 1417, 1398, 1430, 1472, 1450, 1587, 1645, 1740, 1806, 1850, 1831, 1773, 1713, 1627, 1526, 1714], 'SequentialMonroe:honBallot{}': [706, 635, 615, 588, 577, 604, 642, 665, 685, 742, 724, 829, 908, 936, 1029, 1052, 1210, 1290, 1343, 1355, 1382, 1359, 1529, 1793]}, {'SNTV:honBallot{}': [0, 0, 0, 0, 3, 2, 14, 20, 35, 48, 82, 106, 175, 231, 316, 483, 680, 995, 1398, 1839, 2530, 3258, 3352, 1528], 'STV:honBallot{}': [31, 32, 34, 43, 55, 69, 85, 115, 134, 181, 229, 303, 414, 539, 667, 834, 1140, 1513, 1986, 2551, 2990, 3369, 3200, 1639], 'AllocatedScore:honBallot{}': [1235, 1096, 1044, 917, 863, 826, 748, 734, 718, 703, 711, 739, 747, 799, 807, 876, 907, 895, 842, 821, 799, 797, 835, 1048], 'SequentialMonroe:honBallot{}': [390, 332, 319, 316, 312, 310, 329, 352, 347, 367, 372, 462, 506, 490, 564, 582, 644, 669, 708, 714, 732, 728, 864, 1085]}, {'SNTV:honBallot{}': [0, 0, 0, 0, 0, 0, 1, 0, 2, 3, 8, 9, 15, 21, 33, 65, 109, 172, 322, 526, 954, 1711, 2435, 2149], 'STV:honBallot{}': [8, 13, 11, 22, 14, 19, 27, 29, 35, 51, 68, 71, 105, 125, 209, 249, 358, 527, 769, 1145, 1590, 2151, 2580, 2487], 'AllocatedScore:honBallot{}': [1121, 1043, 954, 878, 817, 770, 751, 714, 699, 695, 719, 733, 703, 788, 838, 864, 899, 955, 989, 952, 914, 830, 691, 666], 'SequentialMonroe:honBallot{}': [316, 303, 296, 272, 265, 294, 313, 313, 338, 375, 352, 367, 402, 446, 465, 470, 566, 621, 635, 641, 650, 631, 665, 708]}) +other SW methods: +({'Score:honBallot{}': [0.8980623420387531, 1.0598146588037067, 1.1154170176916596, 1.2266217354675653, 1.329401853411963, 1.3681550126368998, 1.3411962931760741, 1.3428812131423757, 1.3411962931760741, 1.2620050547598989, 1.1962931760741364, 1.1912384161752316, 1.1002527379949452, 1.054759898904802, 0.9401853411962932, 0.9031171019376579, 0.8576242628475147, 0.8087615838247684, 0.7514743049705139, 0.7009267059814659, 0.6251053074978938, 0.552653748946925, 0.5374894692502106, 0.4953664700926706], 'Borda:honBallot{}': [0.8086838534599728, 0.8738127544097694, 0.9914066033469019, 1.0257801899592944, 1.0945273631840795, 1.1343283582089552, 1.1433740388964269, 1.2464947987336048, 1.2862957937584802, 1.2808683853459972, 1.2338308457711442, 1.1922207146087742, 1.1524197195838988, 1.0746268656716418, 1.0312075983717774, 1.007688828584351, 0.9009497964721845, 0.9172320217096337, 0.9280868385345997, 0.8647670737222976, 0.8267752148349163, 0.8141112618724559, 0.6693803708729081, 0.501130710085934], 'SmithIRV:honBallot{}': [0.6801259492498611, 0.786812372661604, 0.7734765697351361, 0.8223745137988516, 0.9112798666419707, 0.886830894610113, 0.9112798666419707, 0.9557325430635303, 1.084645304686053, 1.1002037414335988, 1.3024634191516948, 1.4980551954065568, 1.6158547879236895, 1.4024819411002036, 1.2468975736247454, 1.182441192813484, 1.0646416002963512, 1.089090572328209, 1.0557510650120392, 0.9335062048527505, 0.8423782181885534, 0.7579181329875903, 0.6312280051861456, 0.4645304686052973], 'Schulze:honBallot{}': [0.6746618056221817, 0.7299242060827017, 0.8036074066967284, 0.8841984073683201, 0.9647894080399118, 0.9233426076945217, 0.9670920080591001, 1.001631008346925, 1.0522882087690684, 1.1789312098244267, 1.27103521059196, 1.3700470114170584, 1.5726758131056318, 1.3170872109757268, 1.277943010649525, 1.2134702101122516, 1.1190636093255302, 1.0614986088458218, 0.9578816079823468, 0.9279478077328984, 0.8519620070996834, 0.7966996066391634, 0.6101890050849084, 0.47203300393360836], 'Rp:honBallot{}': [0.6895208414491625, 0.7549668874172185, 0.8204129333852747, 0.876509544215037, 0.9606544604596806, 0.9349435138293728, 0.9513050253213868, 1.0003895597974288, 1.0634982469809116, 1.1990650564861707, 1.2995714842228283, 1.3954031943903389, 1.58005453837164, 1.287884690299961, 1.308920919361122, 1.1990650564861707, 1.1079080638878067, 1.0447993767043242, 0.9746786131671211, 0.8952084144916245, 0.8204129333852747, 0.7760031164783794, 0.6077132839890923, 0.45111024542267236], 'RankedRobin:honBallot{}': [0.6773814190513524, 0.7502940023520188, 0.7832222657781263, 0.8749509996079968, 0.9784398275186201, 0.9313994511956095, 0.9313994511956095, 0.9878479027832223, 1.049000392003136, 1.2230497843982753, 1.2983143865150921, 1.4159153273226186, 1.5382203057624462, 1.2959623676989416, 1.3477067816542532, 1.2324578596628772, 1.1054488435907488, 1.0607604860838886, 0.9549196393571149, 0.9102312818502548, 0.8232065856526852, 0.764406115248922, 0.604468835750686, 0.4609956879655037], 'Raynaud:honBallot{}': [0.7251701949081414, 0.8191737386925301, 0.8303646367621002, 0.8616991513568963, 0.944511797071715, 0.9109391028630047, 0.944511797071715, 0.9736081320525972, 1.1302807050265784, 1.1571388603935466, 1.3138114333675277, 1.4033386179240883, 1.5242003170754452, 1.3675277441014642, 1.208616991513569, 1.1728061176909448, 1.067611675836986, 1.067611675836986, 1.0206099039447916, 0.9288445397743169, 0.8348409959899282, 0.7318847337498834, 0.5975939569150425, 0.46330318008020144], 'ITRV:honBallot{}': [0.6992481203007519, 0.7556390977443609, 0.7827067669172932, 0.8909774436090225, 0.9225563909774436, 0.9157894736842105, 0.9338345864661655, 0.98796992481203, 1.0308270676691729, 1.1593984962406014, 1.2541353383458647, 1.4684210526315788, 1.5992481203007518, 1.3285714285714285, 1.3669172932330826, 1.2473684210526317, 1.093984962406015, 1.0398496240601505, 0.9473684210526315, 0.8954887218045112, 0.8593984962406015, 0.7714285714285715, 0.5842105263157895, 0.46466165413533833]}, {'Score:honBallot{}': [533, 629, 662, 728, 789, 812, 796, 797, 796, 749, 710, 707, 653, 626, 558, 536, 509, 480, 446, 416, 371, 328, 319, 294], 'Borda:honBallot{}': [447, 483, 548, 567, 605, 627, 632, 689, 711, 708, 682, 659, 637, 594, 570, 557, 498, 507, 513, 478, 457, 450, 370, 277], 'SmithIRV:honBallot{}': [306, 354, 348, 370, 410, 399, 410, 430, 488, 495, 586, 674, 727, 631, 561, 532, 479, 490, 475, 420, 379, 341, 284, 209], 'Schulze:honBallot{}': [293, 317, 349, 384, 419, 401, 420, 435, 457, 512, 552, 595, 683, 572, 555, 527, 486, 461, 416, 403, 370, 346, 265, 205], 'Rp:honBallot{}': [295, 323, 351, 375, 411, 400, 407, 428, 455, 513, 556, 597, 676, 551, 560, 513, 474, 447, 417, 383, 351, 332, 260, 193], 'RankedRobin:honBallot{}': [288, 319, 333, 372, 416, 396, 396, 420, 446, 520, 552, 602, 654, 551, 573, 524, 470, 451, 406, 387, 350, 325, 257, 196], 'Raynaud:honBallot{}': [324, 366, 371, 385, 422, 407, 422, 435, 505, 517, 587, 627, 681, 611, 540, 524, 477, 477, 456, 415, 373, 327, 267, 207], 'ITRV:honBallot{}': [310, 335, 347, 395, 409, 406, 414, 438, 457, 514, 556, 651, 709, 589, 606, 553, 485, 461, 420, 397, 381, 342, 259, 206]}, {'Score:honBallot{}': [280, 344, 336, 381, 406, 408, 397, 396, 399, 364, 338, 326, 280, 269, 250, 227, 224, 215, 189, 178, 178, 152, 157, 156], 'Borda:honBallot{}': [236, 252, 272, 285, 320, 321, 313, 344, 354, 342, 313, 306, 293, 268, 257, 260, 224, 220, 231, 212, 197, 197, 146, 71], 'SmithIRV:honBallot{}': [167, 196, 207, 211, 229, 230, 237, 254, 280, 290, 344, 363, 384, 307, 262, 243, 214, 226, 209, 192, 157, 131, 92, 44], 'Schulze:honBallot{}': [171, 184, 206, 223, 245, 239, 250, 255, 252, 298, 311, 329, 356, 268, 265, 242, 229, 219, 191, 175, 155, 143, 80, 35], 'Rp:honBallot{}': [172, 185, 202, 210, 241, 238, 241, 253, 258, 306, 313, 318, 349, 256, 260, 237, 220, 207, 186, 163, 146, 132, 78, 34], 'RankedRobin:honBallot{}': [165, 186, 191, 211, 243, 234, 233, 254, 253, 312, 310, 326, 335, 266, 271, 244, 214, 208, 187, 168, 147, 125, 76, 35], 'Raynaud:honBallot{}': [182, 209, 222, 222, 239, 233, 239, 258, 296, 307, 341, 337, 348, 294, 253, 242, 210, 218, 203, 190, 156, 128, 87, 43], 'ITRV:honBallot{}': [176, 194, 199, 225, 243, 234, 242, 268, 261, 305, 319, 351, 369, 278, 277, 256, 224, 211, 176, 169, 158, 132, 77, 43]}, {'Score:honBallot{}': [253, 285, 326, 347, 383, 404, 399, 401, 397, 385, 372, 381, 373, 357, 308, 309, 285, 265, 257, 238, 193, 176, 162, 138], 'Borda:honBallot{}': [211, 231, 276, 282, 285, 306, 319, 345, 357, 366, 369, 353, 344, 326, 313, 297, 274, 287, 282, 266, 260, 253, 224, 206], 'SmithIRV:honBallot{}': [139, 158, 141, 159, 181, 169, 173, 176, 208, 205, 242, 311, 343, 324, 299, 289, 265, 264, 266, 228, 222, 210, 192, 165], 'Schulze:honBallot{}': [122, 133, 143, 161, 174, 162, 170, 180, 205, 214, 241, 266, 327, 304, 290, 285, 257, 242, 225, 228, 215, 203, 185, 170], 'Rp:honBallot{}': [123, 138, 149, 165, 170, 162, 166, 175, 197, 207, 243, 279, 327, 295, 300, 276, 254, 240, 231, 220, 205, 200, 182, 159], 'RankedRobin:honBallot{}': [123, 133, 142, 161, 173, 162, 163, 166, 193, 208, 242, 276, 319, 285, 302, 280, 256, 243, 219, 219, 203, 200, 181, 161], 'Raynaud:honBallot{}': [142, 157, 149, 163, 183, 174, 183, 177, 209, 210, 246, 290, 333, 317, 287, 282, 267, 259, 253, 225, 217, 199, 180, 164], 'ITRV:honBallot{}': [134, 141, 148, 170, 166, 172, 172, 170, 196, 209, 237, 300, 340, 311, 329, 297, 261, 250, 244, 228, 223, 210, 182, 163]}) +stratComparison: +({'Plurality:honBallot{}': [0.0, 0.007155635062611807, 0.007155635062611807, 0.014311270125223614, 0.007155635062611807, 0.028622540250447227, 0.05008944543828265, 0.06440071556350627, 0.12880143112701253, 0.24329159212880144, 0.3363148479427549, 0.47942754919499103, 0.6511627906976745, 1.0518783542039356, 1.4883720930232558, 2.332737030411449, 3.177101967799642, 3.84257602862254, 3.5277280858676208, 2.5330948121645798, 1.6744186046511629, 1.18783542039356, 0.6940966010733453, 0.47227191413237923], 'Plurality:vaBallot{}': [0.659217877094972, 0.7262569832402235, 0.5586592178770949, 0.6815642458100558, 0.6815642458100558, 0.6815642458100558, 0.7039106145251397, 0.7932960893854749, 0.9832402234636871, 0.8938547486033519, 1.229050279329609, 1.4078212290502794, 1.4748603351955307, 1.4748603351955307, 1.7430167597765363, 1.5195530726256983, 1.541899441340782, 1.2625698324022345, 1.229050279329609, 1.0279329608938548, 1.005586592178771, 0.7486033519553073, 0.5810055865921788, 0.39106145251396646], 'PluralityTop2:honBallot{}': [0.15771583956492183, 0.13052345343303876, 0.13052345343303876, 0.16315431679129844, 0.1849082256968049, 0.20666213460231136, 0.23385452073419444, 0.2882392929979606, 0.309993201903467, 0.42420122365737595, 0.6254248810333106, 0.8701563562202583, 1.1638341264445955, 1.1801495581237254, 1.5336505778382052, 1.821889870836166, 2.08837525492862, 2.5071380013596194, 2.7899388171312034, 2.6322229775662813, 1.9197824609109448, 1.2236573759347382, 0.902787219578518, 0.5112168592794017], 'PluralityTop2:vaBallot{}': [0.36970474967907574, 0.4682926829268293, 0.3635430038510911, 0.3820282413350449, 0.38818998716302955, 0.5422336328626444, 0.5422336328626444, 0.6284980744544287, 0.6469833119383825, 0.7394094993581515, 1.0906290115532735, 1.3802310654685495, 1.5897304236200256, 1.5589216944801028, 1.6821566110397945, 1.7560975609756098, 2.0272143774069318, 1.8177150192554556, 1.67599486521181, 1.2754813863928114, 1.096790757381258, 0.8749679075738126, 0.6777920410783055, 0.4251604621309371], 'IRV:honBallot{}': [0.24101762999330506, 0.2249497879937514, 0.1767462619950904, 0.24101762999330506, 0.27850926132559695, 0.3374246819906271, 0.4016960499888418, 0.39098415532247266, 0.5463066279848248, 0.6587815219817005, 0.8783753626422673, 1.2425797812988173, 1.3818344119616157, 1.3443427806293238, 1.6282079892881054, 1.6496317786208436, 1.933496987279625, 2.1102432492747156, 2.0406159339433163, 1.7995983039500112, 1.69247935728632, 1.3389868332961392, 0.8997991519750056, 0.5623744699843785], 'IRV:vaBallot{}': [0.5800214822771214, 0.7089151450053706, 0.6186895810955961, 0.7218045112781954, 0.7218045112781954, 0.7862513426423201, 0.8249194414607949, 0.8249194414607949, 0.8893662728249194, 0.9924812030075187, 1.2502685284640171, 1.6627282491944146, 1.7916219119226637, 1.2502685284640171, 1.4822771213748658, 1.2373791621911923, 1.4049409237379162, 1.2502685284640171, 1.2502685284640171, 1.0440386680988185, 1.0053705692803436, 0.799140708915145, 0.5413533834586466, 0.3609022556390977], 'Approval:zeroInfoBallot{}': [0.07518796992481203, 0.14035087719298245, 0.18045112781954886, 0.3157894736842105, 0.531328320802005, 0.7518796992481203, 0.9824561403508771, 1.1779448621553885, 1.5388471177944862, 1.8295739348370927, 2.1403508771929824, 2.2656641604010024, 2.275689223057644, 2.075187969924812, 1.5889724310776943, 1.218045112781955, 0.8421052631578947, 0.6967418546365914, 0.6015037593984962, 0.5864661654135338, 0.5714285714285714, 0.49122807017543857, 0.5614035087719298, 0.5614035087719298], 'Approval:vaBallot{}': [0.8151447661469933, 0.8351893095768375, 0.821826280623608, 0.7416481069042317, 0.9020044543429844, 0.821826280623608, 0.9220489977728286, 0.9621380846325167, 1.042316258351893, 1.1959910913140313, 1.3830734966592428, 1.3363028953229399, 1.3363028953229399, 1.3162583518930957, 1.3429844097995545, 1.3830734966592428, 1.2026726057906458, 1.2293986636971046, 1.0757238307349666, 0.8552338530066815, 0.8151447661469933, 0.688195991091314, 0.534521158129176, 0.44097995545657015], 'ApprovalTop2:zeroInfoBallot{}': [0.47162459766220566, 0.51228189056412, 0.4756903269523971, 0.5935964763679485, 0.6342537692698628, 0.8009486701677113, 0.8334745044892428, 1.0001694053870913, 1.0774182619007284, 1.2603760799593426, 1.3986108758258513, 1.6832119261392513, 1.7116720311705913, 1.6628832796882942, 1.5734372353040826, 1.3945451465356598, 1.1790614941555142, 1.073352532610537, 1.0286295104184313, 0.9269862781636456, 0.7643571065559884, 0.7480941893952228, 0.6505166864306285, 0.5448077248856513], 'ApprovalTop2:vaBallot{}': [0.8681707999254149, 0.8636956927093045, 0.7965690844676487, 0.8457952638448629, 0.8860712287898564, 0.9487227298154018, 1.100876375163155, 1.136677232892038, 1.1769531978370316, 1.1545776617564796, 1.333581950400895, 1.3738579153458885, 1.2888308782397913, 1.2082789483498042, 1.1680029834048107, 1.123251911243707, 1.0516501957859408, 1.1277270184598174, 0.962148051463733, 0.9173969793026291, 0.8278948349804214, 0.7518180123065449, 0.6130896886071229, 0.4743613649077009], 'STAR:honBallot{}': [0.9563642351391405, 0.9603161534661617, 1.0037872550633953, 1.0433064383336077, 1.1342005598550964, 1.1342005598550964, 1.1421043965091389, 1.2132389263955212, 1.193479334760415, 1.2409023546846698, 1.2132389263955212, 1.2488061913387123, 1.0867775399308415, 1.098633294911905, 1.0274987650255227, 0.9247488885229705, 0.9168450518689281, 0.8773258685987156, 0.8773258685987156, 0.7627202371150996, 0.7113452988638235, 0.7548164004610571, 0.703441462209781, 0.7745759920961633], 'STAR:vaBallot{}': [0.7694008401503427, 0.8330753924386469, 0.8277691797479549, 0.870218881273491, 0.9498120716338714, 0.9445058589431793, 1.1249170904267078, 1.0771611762104798, 1.2045102807870882, 1.3849215122706169, 1.448596064558921, 1.5281892549193012, 1.3583904488171568, 1.3106345346009285, 1.3955339376520008, 1.1196108777360159, 1.0294052619942515, 0.9657307097059474, 0.8118505416758789, 0.8118505416758789, 0.7110325005527305, 0.5571523325226619, 0.4775591421622817, 0.4881715675436657]}, {'Plurality:honBallot{}': [0, 1, 1, 2, 1, 4, 7, 9, 18, 34, 47, 67, 91, 147, 208, 326, 444, 537, 493, 354, 234, 166, 97, 66], 'Plurality:vaBallot{}': [59, 65, 50, 61, 61, 61, 63, 71, 88, 80, 110, 126, 132, 132, 156, 136, 138, 113, 110, 92, 90, 67, 52, 35], 'PluralityTop2:honBallot{}': [29, 24, 24, 30, 34, 38, 43, 53, 57, 78, 115, 160, 214, 217, 282, 335, 384, 461, 513, 484, 353, 225, 166, 94], 'PluralityTop2:vaBallot{}': [60, 76, 59, 62, 63, 88, 88, 102, 105, 120, 177, 224, 258, 253, 273, 285, 329, 295, 272, 207, 178, 142, 110, 69], 'IRV:honBallot{}': [45, 42, 33, 45, 52, 63, 75, 73, 102, 123, 164, 232, 258, 251, 304, 308, 361, 394, 381, 336, 316, 250, 168, 105], 'IRV:vaBallot{}': [45, 55, 48, 56, 56, 61, 64, 64, 69, 77, 97, 129, 139, 97, 115, 96, 109, 97, 97, 81, 78, 62, 42, 28], 'Approval:zeroInfoBallot{}': [15, 28, 36, 63, 106, 150, 196, 235, 307, 365, 427, 452, 454, 414, 317, 243, 168, 139, 120, 117, 114, 98, 112, 112], 'Approval:vaBallot{}': [122, 125, 123, 111, 135, 123, 138, 144, 156, 179, 207, 200, 200, 197, 201, 207, 180, 184, 161, 128, 122, 103, 80, 66], 'ApprovalTop2:zeroInfoBallot{}': [116, 126, 117, 146, 156, 197, 205, 246, 265, 310, 344, 414, 421, 409, 387, 343, 290, 264, 253, 228, 188, 184, 160, 134], 'ApprovalTop2:vaBallot{}': [194, 193, 178, 189, 198, 212, 246, 254, 263, 258, 298, 307, 288, 270, 261, 251, 235, 252, 215, 205, 185, 168, 137, 106], 'STAR:honBallot{}': [242, 243, 254, 264, 287, 287, 289, 307, 302, 314, 307, 316, 275, 278, 260, 234, 232, 222, 222, 193, 180, 191, 178, 196], 'STAR:vaBallot{}': [145, 157, 156, 164, 179, 178, 212, 203, 227, 261, 273, 288, 256, 247, 263, 211, 194, 182, 153, 153, 134, 105, 90, 92]}, {'Plurality:honBallot{}': [0, 1, 1, 2, 1, 4, 6, 8, 17, 31, 42, 60, 73, 122, 159, 238, 288, 287, 217, 115, 54, 28, 9, 7], 'Plurality:vaBallot{}': [34, 33, 30, 35, 34, 36, 42, 44, 47, 41, 63, 75, 75, 72, 83, 75, 68, 49, 40, 30, 30, 22, 14, 6], 'PluralityTop2:honBallot{}': [17, 15, 19, 16, 23, 24, 29, 38, 42, 54, 82, 106, 143, 146, 194, 228, 253, 273, 272, 218, 124, 49, 24, 8], 'PluralityTop2:vaBallot{}': [37, 48, 35, 39, 39, 53, 58, 67, 67, 83, 114, 141, 152, 152, 172, 162, 166, 124, 105, 81, 55, 28, 24, 5], 'IRV:honBallot{}': [33, 27, 21, 33, 36, 39, 50, 52, 65, 78, 109, 151, 157, 154, 187, 184, 210, 216, 198, 156, 114, 74, 34, 11], 'IRV:vaBallot{}': [28, 32, 32, 35, 35, 34, 38, 39, 38, 41, 55, 67, 77, 48, 63, 56, 49, 38, 40, 33, 31, 18, 11, 6], 'Approval:zeroInfoBallot{}': [10, 16, 23, 48, 79, 119, 143, 165, 205, 230, 245, 241, 210, 158, 91, 43, 31, 33, 41, 45, 47, 50, 54, 59], 'Approval:vaBallot{}': [61, 67, 63, 59, 75, 66, 77, 76, 94, 99, 120, 103, 112, 109, 102, 102, 77, 81, 60, 48, 43, 33, 22, 21], 'ApprovalTop2:zeroInfoBallot{}': [69, 71, 63, 84, 101, 124, 139, 160, 169, 202, 218, 246, 230, 208, 175, 132, 110, 94, 93, 92, 66, 70, 56, 51], 'ApprovalTop2:vaBallot{}': [118, 114, 109, 106, 117, 125, 157, 158, 142, 135, 153, 179, 152, 143, 125, 117, 98, 105, 83, 84, 75, 61, 44, 27], 'STAR:honBallot{}': [131, 130, 138, 139, 157, 157, 156, 159, 165, 167, 149, 149, 128, 129, 117, 102, 102, 92, 100, 92, 72, 85, 86, 99], 'STAR:vaBallot{}': [88, 87, 93, 96, 102, 101, 126, 118, 130, 155, 151, 149, 118, 112, 124, 77, 68, 57, 55, 50, 39, 34, 37, 34]}, {'Plurality:honBallot{}': [0, 0, 0, 0, 0, 0, 1, 1, 1, 3, 5, 7, 18, 25, 49, 88, 156, 250, 276, 239, 180, 138, 88, 59], 'Plurality:vaBallot{}': [25, 32, 20, 26, 27, 25, 21, 27, 41, 39, 47, 51, 57, 60, 73, 61, 70, 64, 70, 62, 60, 45, 38, 29], 'PluralityTop2:honBallot{}': [12, 9, 5, 14, 11, 14, 14, 15, 15, 24, 33, 54, 71, 71, 88, 107, 131, 188, 241, 266, 229, 176, 142, 86], 'PluralityTop2:vaBallot{}': [23, 28, 24, 23, 24, 35, 30, 35, 38, 37, 63, 83, 106, 101, 101, 123, 163, 171, 167, 126, 123, 114, 86, 64], 'IRV:honBallot{}': [12, 15, 12, 12, 16, 24, 25, 21, 37, 45, 55, 81, 101, 97, 117, 124, 151, 178, 183, 180, 202, 176, 134, 94], 'IRV:vaBallot{}': [17, 23, 16, 21, 21, 27, 26, 25, 31, 36, 42, 62, 62, 49, 52, 40, 60, 59, 57, 48, 47, 44, 31, 22], 'Approval:zeroInfoBallot{}': [5, 12, 13, 15, 27, 31, 53, 70, 102, 135, 182, 211, 244, 256, 226, 200, 137, 106, 79, 72, 67, 48, 58, 53], 'Approval:vaBallot{}': [61, 58, 60, 52, 60, 57, 61, 68, 62, 80, 87, 97, 88, 88, 99, 105, 103, 103, 101, 80, 79, 70, 58, 45], 'ApprovalTop2:zeroInfoBallot{}': [47, 55, 54, 62, 55, 73, 66, 86, 96, 108, 126, 168, 191, 201, 212, 211, 180, 170, 160, 136, 122, 114, 104, 83], 'ApprovalTop2:vaBallot{}': [76, 79, 69, 83, 81, 87, 89, 96, 121, 123, 145, 128, 136, 127, 136, 134, 137, 147, 132, 121, 110, 107, 93, 79], 'STAR:honBallot{}': [111, 113, 116, 125, 130, 130, 133, 148, 137, 147, 158, 167, 147, 149, 143, 132, 130, 130, 122, 101, 108, 106, 92, 97], 'STAR:vaBallot{}': [57, 70, 63, 68, 77, 77, 86, 85, 97, 106, 122, 139, 138, 135, 139, 134, 126, 125, 98, 103, 95, 71, 53, 58]}) +readable strat data: +Plurality:honBallot{} +[0, 0, 0, 1, 0, 2, 5, 6, 12, 24, 33, 47, 65, 105, 148, 233, 317, 384, 352, 253, 167, 118, 69, 47] +Plurality:vaBallot{} +[65, 72, 55, 68, 68, 68, 70, 79, 98, 89, 122, 140, 147, 147, 174, 151, 154, 126, 122, 102, 100, 74, 58, 39] +PluralityTop2:honBallot{} +[15, 13, 13, 16, 18, 20, 23, 28, 30, 42, 62, 87, 116, 118, 153, 182, 208, 250, 278, 263, 191, 122, 90, 51] +PluralityTop2:vaBallot{} +[36, 46, 36, 38, 38, 54, 54, 62, 64, 73, 109, 138, 158, 155, 168, 175, 202, 181, 167, 127, 109, 87, 67, 42] +IRV:honBallot{} +[24, 22, 17, 24, 27, 33, 40, 39, 54, 65, 87, 124, 138, 134, 162, 164, 193, 211, 204, 179, 169, 133, 89, 56] +IRV:vaBallot{} +[58, 70, 61, 72, 72, 78, 82, 82, 88, 99, 125, 166, 179, 125, 148, 123, 140, 125, 125, 104, 100, 79, 54, 36] +Approval:zeroInfoBallot{} +[7, 14, 18, 31, 53, 75, 98, 117, 153, 182, 214, 226, 227, 207, 158, 121, 84, 69, 60, 58, 57, 49, 56, 56] +Approval:vaBallot{} +[81, 83, 82, 74, 90, 82, 92, 96, 104, 119, 138, 133, 133, 131, 134, 138, 120, 122, 107, 85, 81, 68, 53, 44] +ApprovalTop2:zeroInfoBallot{} +[47, 51, 47, 59, 63, 80, 83, 100, 107, 126, 139, 168, 171, 166, 157, 139, 117, 107, 102, 92, 76, 74, 65, 54] +ApprovalTop2:vaBallot{} +[86, 86, 79, 84, 88, 94, 110, 113, 117, 115, 133, 137, 128, 120, 116, 112, 105, 112, 96, 91, 82, 75, 61, 47] +STAR:honBallot{} +[95, 96, 100, 104, 113, 113, 114, 121, 119, 124, 121, 124, 108, 109, 102, 92, 91, 87, 87, 76, 71, 75, 70, 77] +STAR:vaBallot{} +[76, 83, 82, 87, 94, 94, 112, 107, 120, 138, 144, 152, 135, 131, 139, 111, 102, 96, 81, 81, 71, 55, 47, 48] \ No newline at end of file diff --git a/cid_results/spatial2D.png b/cid_results/spatial2D.png new file mode 100644 index 0000000..98805bf Binary files 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$svgs +for svg in $svgs; do + echo "Converting $svg" + /Applications/Inkscape.app/Contents/MacOS/inkscape --export-background-opacity=0 --export-type=png --export-filename="pngs/$svg.png" "svg_output/$svg" +done diff --git a/create graphs for paper.R b/create graphs for paper.R new file mode 100644 index 0000000..d8b5f08 --- /dev/null +++ b/create graphs for paper.R @@ -0,0 +1,274 @@ +library(data.table) +library(scatterD3) +library(ggplot2) +library(ggthemes) +library(dplyr) +library(forcats) +library(scales) +library(extrafont) +#remotes::install_version("Rttf2pt1", version = "1.3.8") +#extrafont::font_import() +library(showtext) +font_add("Arial", "/Library/Fonts/Arial.ttf") +# +# vse = fread("full1.csv") +# vse = rbind(vse,fread("full2.csv")) +# vse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# vse[chooser=="honBallot",mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# ovse = fread("lowDks2.csv") +# ovse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# ovse[chooser %in% c("honBallot","Oss.hon_strat.","Prob.strat50_hon50."),mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# mvse = fread("media413.csv") +# mvse = rbind(mvse,fread("media41.csv"), fill=T) +# mvse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# mvse[chooser %in% c("honBallot","Oss.hon_strat.","Prob.strat50_hon50."),mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# +# +# +# +# +# +# +# +# +# +# fvse = fread("fuzzy5.csv") +# fvse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# fvse = fread("wtf1.csv") +# +# fvse = rbind(fvse,fread("wtf2.csv")) +star_palette = c("#ee2c53", "#ff9900", "#60b33c", "#2aa2b3", "#02627c", "#4d2586", "#000000", "#c4e44c") +correct_order = rev(c("STAR", "Minimax", "ApprovalTop2", "Approval", "IRV", "PluralityTop2", "Plurality")) +correct_labels = rev(c("STAR", "Smith/Minimax", "Approval Top Two", "Approval", "IRV", "Plurality Top Two", "Plurality")) +model_names = c("base_scenario", "impartial_culture", "2d_model", "3d_model", "3cand", "9cand", "12cand", "plurality_picky", "no_noise", + "nostrats") + +#modelName = "base_scenario" +for (rawModelName in model_names) { + modelName = paste0("output/", rawModelName) + print(modelName) + svgfiles = Sys.glob(paste0("svg_", modelName,"*.svg")) + if (length(svgfiles) == 3) { + + cat(modelName, "...skipping (svgs exist)\n") + next + } + files = Sys.glob(paste0(modelName,"*.csv")) + print(files[1]) + fvse = fread(files[1]) + for (file in files[-1]) { + print(file) + fvse = rbind(fvse, fread(file)) + } + numVoters = mean(fvse[,numVoters]) + vses = fvse[method != "ApprovalPoll",list(VSE=mean((r1WinnerUtil - meanCandidateUtil) / + (magicBestUtil - meanCandidateUtil))),by=.(method,backgroundStrat)] + dcast(vses, method ~ backgroundStrat) + + vses = vses[,method:=factor(method, levels=correct_order, labels = correct_labels)] + vses + + fvse = fvse[,intensityMaybe:=substr(fgArgs,15,15)] + unique(fvse[,intensityMaybe]) #Should be: [1] "" "1" "2" "3" "4" "h" "v" + fvse = fvse[,fgBaseMaybe:=substr(fgArgs,27,27)] + unique(fvse[,fgBaseMaybe]) #Should be: [1] "" "e" "p" ":" " " + + + cat(modelName, "...bars\n") + #vse as bars + if (F) { + (ggplot(data = vses, aes(x = VSE, y = method, group = method)) + + geom_line(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)")) + } + + cat(modelName, "...vse\n") + #vse as dots + vseGraph = ( + vses %>% + mutate(method = method + #%>% fct_reorder(VSE, .fun='mean') + # %>% recode(`STAR`="STAR", + # `PluralityTop2`="Plurality Top Two", + # `Minimax`="Smith/Minimax", + # `Irv`="IRV (RCV)", + # `ApprovalTop2`="Approval Top Two", + # ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = VSE, y = as.factor(method), color = backgroundStrat)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1))#, limits=c(.68, 1.0)) + + geom_point(size=3) #+ xlim(.65,1.00) + + scale_color_manual(values=star_palette[c(7,2)], labels = c("Honest / Naive", "Viability-aware")) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + + xlab("% Voter Satisfaction Efficiency (VSE)") + + labs(color="Voter Behavior") #+ scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + ggsave(paste0("svg_", modelName, "_VSE.svg"), + plot=vseGraph, + width = 6.4, height = 2.4, dpi=1200, units = "in") + # ggsave(paste0(modelName, " VSE.png"), + # plot=vseGraph, + # width = 6.4, height = 2.4, dpi=1200, units = "in") + + fromhons = fvse[backgroundStrat=="honBallot" & fgStrat == "vaBallot" & + fgArgs == "{'info': 'e'}", + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + pivotalUtilDiff=mean(pivotalUtilDiff) + ), + by=.(method,backgroundStrat, fgStrat, fgArgs, intensityMaybe, fgBaseMaybe)] + fromhons + + honBaseMethods = fromhons[pivotalUtilDiff<0,method] + fromawares = fvse[((backgroundStrat=="vaBallot" & !(method %in% honBaseMethods)) | (backgroundStrat=="honBallot" & (method %in% honBaseMethods))) + & !fgStrat %in% c("", "vaBallot") & !startsWith(fgArgs, "{'fallback': 'hon',"), + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + pivotalUtilDiff=mean(pivotalUtilDiff) + ), + by=.(method,backgroundStrat, fgStrat, fgArgs, fgTargets, intensityMaybe, fgBaseMaybe)] + fromawares + + besttargets = function(grouped) { + grouped[,target:=fgTargets[order(-pivotalUtilDiff)[1]], by=.(method,backgroundStrat, fgStrat, fgArgs)] + # justBest = grouped[target,,] + chosen = grouped[grouped[, .I[pivotalUtilDiff == max(pivotalUtilDiff)], by = .(method,backgroundStrat, fgStrat, fgArgs)]$V1] + } + bestfromawares = besttargets(fromawares) + bestfromawares + fixedFavoriteBetrayal = fromawares[method=="STAR" & fgTargets == "select31" & fgStrat == "compBallot" & intensityMaybe == "3",] + removeWrongFB = bestfromawares[!(fgStrat == "compBallot" & intensityMaybe == "3" & method=="STAR"),] + bestfromawares = rbind(fixedFavoriteBetrayal, removeWrongFB) + + cat(modelName, "...pvsi1\n") + #correct_order = vses[,mean(VSE),by=method][order(V1),method] + fromhons = fromhons[,method:=factor(method, levels=correct_order, labels = correct_labels)] + #PVSI for viability-aware + PVSI1 = ( + fromhons %>% + # mutate(method = method + # #%>% fct_reorder(VSE, .fun='mean') + # %>% recode(`STAR`="STAR", + # `PluralityTop2`="Plurality Top Two", + # `Minimax`="Smith/Minimax", + # `Irv`="IRV (RCV)", + # `ApprovalTop2`="Approval Top Two", + # ), + # #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + # #VSE = VSE * 100 + # ) %>% + ggplot( + aes(x = pivotalUtilDiff, y = as.factor(method))) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1))#, limits = c(-.0,.38)) + + geom_point(size=3, color=star_palette[2]) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Pivotal Voter Strategic Incentive (PVSI)") + #+ labs(color="Voter Behavior") + #+ scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + + ggsave(paste0("svg_", modelName, "_PVSI1.svg"), + plot=PVSI1, + width = 7.8, height = 2.6, dpi=1200, units = "in") + # ggsave(paste0(modelName, " PVSI1.png"), + # plot=PVSI1, + # width = 7.8, height = 2.6, dpi=1200, units = "in") + + bestfromawares = bestfromawares[fgBaseMaybe == "p" | fgStrat=="bulletBallot",] + + bestfromawares[intensityMaybe == "3" & fgStrat=="compBallot",xStrategy:="Favorite Betrayal"] + bestfromawares[intensityMaybe == "3" & fgStrat=="diehardBallot",xStrategy:="Burial"] + bestfromawares[fgStrat=="bulletBallot",xStrategy:="Bullet Voting*"] + bestfromawares[(intensityMaybe %in% c("1","2")) & fgStrat=="diehardBallot" & + (method %in% c("Approval", "ApprovalTop2")),xStrategy:="Exclusive"] + bestfromawares[(intensityMaybe %in% c("1","2")) & fgStrat=="compBallot" & + (method %in% c("Approval", "ApprovalTop2")),xStrategy:="Inclusive"] + bestfromawares[(intensityMaybe == "2") & fgStrat=="compBallot" & + (method %in% c("STAR","Minimax")),xStrategy:="Polarized Inclusive"] + bestfromawares[(intensityMaybe == "2") & fgStrat=="diehardBallot" & + (method %in% c("STAR","Minimax")),xStrategy:="Polarized Exclusive"] + bestfromawares[(intensityMaybe == "1") & fgStrat=="diehardBallot" & + (method %in% c("STAR","Minimax")),xStrategy:="Honest Deflation"] + bestfromawares[(intensityMaybe == "1") & fgStrat=="compBallot" & + (method %in% c("STAR","Minimax")),xStrategy:="Honest Inflation"] + bestfromawares[startsWith(fgArgs,"{'fallback': 'va'"),xStrategy:=NA] + fixedfromawares = bestfromawares[!is.na(xStrategy) & + !(fgStrat=="bulletBallot" & method %in% c("Plurality", "PluralityTop2")) & + !(xStrategy=="Favorite Betrayal" & method == "Approval") + ,] + + strategies = sort(unique(fixedfromawares[,xStrategy])) + strategies + fixedfromawares[,Strategy:=factor(xStrategy, levels = strategies[c(4,2,1,3,7,8,9,5,6)])] + fixedfromawares[,method:=factor(method, levels=correct_order, labels = correct_labels)] + #methods = sort(unique(bestfromawares[,method])) + #methodsInOrder = methods[c(5,6,3,1,2,4,7)] + #methodsInOrder # should be: [1] "Plurality" "PluralityTop2" "IRV" "Approval" "ApprovalTop2" "Minimax" "STAR" + #bestfromawares[,method:=factor(method, levels = methodsInOrder)] + + cat(modelName, "...pvsi2\n") + #PVSI for targeted strategy + PVSI2 = ( + fixedfromawares %>% + # mutate(method = method + # #%>% fct_reorder(VSE, .fun='mean') + # %>% recode(`STAR`="STAR", + # `PluralityTop2`="Plurality Top Two", + # `Minimax`="Smith/Minimax", + # `Irv`="IRV (RCV)", + # `ApprovalTop2`="Approval Top Two", + # ), + # #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + # #VSE = VSE * 100 + # ) %>% + ggplot( + aes(x = pivotalUtilDiff, y = as.factor(method), color = Strategy, fill=Strategy, shape=Strategy)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1)) + + geom_point(size=3) #+ xlim(.65,1.00) + #+ scale_shape_manual(values=c(0,1,5,2,6)) + + scale_shape_manual(values=c(21,22,23,25,24,25,24,25,24)) + + scale_color_manual(values=star_palette[c(1,2,3,4,4,5,5,6,6)]) + + scale_fill_manual(values=star_palette[c(1,2,8,4,4,5,5,6,6)]) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Pivotal Voter Strategic Incentive (PVSI)") + + labs(color="Strategy") + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + ggsave(paste0("svg_", modelName, "_PVSI2.svg"), + plot=PVSI2, + width = 9.6, height = 3.1, dpi=1200, units = "in") + + + print("Did it!") + print(modelName) + print(modelName) + print(modelName) + print(modelName) + print(modelName) + print(modelName) + print(modelName) +} + diff --git a/dataClasses.py b/dataClasses.py index 7e2d98a..3eca698 100644 --- a/dataClasses.py +++ b/dataClasses.py @@ -1,115 +1,30 @@ - -from mydecorators import autoassign, cached_property, setdefaultattr, decorator +import functools import random -from numpy.lib.scimath import sqrt -from numpy.core.fromnumeric import mean, std -from numpy.lib.function_base import median -from numpy.ma.core import floor from test.test_binop import isnum -from debugDump import * from uuid import uuid4 +import numpy as np +import scipy.integrate as integrate +import scipy.stats as stats +from numpy.core.fromnumeric import mean, std +from numpy.lib.function_base import median +from numpy.lib.scimath import sqrt +from numpy.ma.core import floor +from scipy.optimize import fmin +from scipy.special import logsumexp +from scipy.stats import beta +from debugDump import * +from mydecorators import ( + autoassign, + cached_property, + decorator, + setdefaultattr, + uniquify, +) from stratFunctions import * +from version import version -class VseOneRun: - @autoassign - def __init__(self, result, tallyItems, strat): - pass - -class VseMethodRun: - @autoassign - def __init__(self, method, choosers, results): - pass - - -####data holders for output -from collections import defaultdict -class SideTally(defaultdict): - """Used for keeping track of how many voters are being strategic, etc. - - DO NOT use plain +; for this class, it is equivalent to +=, but less readable. - - """ - def __init__(self): - super().__init__(int) - #>>> tally = SideTally() - #>>> tally += {1:2,3:4} - #>>> tally - #{1: 2, 3: 4} - #>>> tally += {1:2,3:4,5:6} - #>>> tally - #{1: 4, 3: 8, 5: 6} - #""" - #def __add__(self, other): - # for (key, val) in other.items(): - # try: - # self[key] += val - # except KeyError: - # self[key] = val - # return self - - def initKeys(self, chooser): - try: - self.keyList = chooser.allTallyKeys() - except AttributeError: - try: - self.keyList = list(chooser) - except TypeError: - pass - #TODO: Why does this happen? - #debug("Chooser has no tally keys:", str(chooser)) - self.initKeys = staticmethod(lambda x:x) #don't do it again - - def serialize(self): - try: - return [self[key] for key in self.keyList] - except AttributeError: - return [] - - def fullSerialize(self): - try: - kl = self.keyList - except AttributeError: - return [self[key] for key in self.keys()] - - def itemList(self): - try: - kl = self.keyList - return ([(k, self[k]) for k in kl] + - [(k, self[k]) for k in self.keys() if k not in kl]) - except AttributeError: - return list(self.items()) - -class Tallies(list): - """Used (ONCE) as an enumerator, gives an inexhaustible flow of SideTally objects. - After that, use as list to see those objects. - - >>> ts = Tallies() - >>> for i, j in zip(ts, [5,4,3]): - ... i[j] += j - ... - >>> [t.serialize() for t in ts] - [[], [], [], []] - >>> [t.fullSerialize() for t in ts] - [[5], [4], [3], []] - >>> [t.initKeys([k]) for (t,k) in zip(ts,[6,4,3])] - [None, None, None] - >>> [t.serialize() for t in ts] - [[0], [4], [3], []] - """ - def __iter__(self): - try: - self.used - return super().__iter__() - except: - self.used = True - return self - - def __next__(self): - tally = SideTally() - self.append(tally) - return tally ##Election Methods class Method: @@ -118,7 +33,8 @@ class Method: def __str__(self): return self.__class__.__name__ - def results(self, ballots, **kwargs): + @classmethod + def results(cls, ballots, **kwargs): """Combines ballots into results. Override for comparative methods. @@ -130,14 +46,124 @@ def results(self, ballots, **kwargs): """ if type(ballots) is not list: ballots = list(ballots) - return list(map(self.candScore,zip(*ballots))) + return list(map(cls.candScore, zip(*ballots))) - @staticmethod #cls is provided explicitly, not through binding - def honBallot(cls, utils): - """Takes utilities and returns an honest ballot - """ + @classmethod + def winnerSet(cls, ballots, numWinners=1): + """Returns a list with all the winning candidates. Override for multi-winner methods.""" + return [cls.winner(cls.results(ballots))] + + @classmethod + def honBallot(cls, utils, **kw): + """Takes utilities and returns an honest ballot""" raise NotImplementedError(f"{cls} needs honBallot") + @classmethod + def vaBallot(cls, utils, electabilities, **kw): + """Viability-aware strategy. + Takes utilities and information on each candidate's electability + and returns a strategically optimal ballot based on that information + """ + return cls.honBallot(utils) + + @classmethod + def bulletBallot(cls, utils, **kw): + """Bullet votes for the voter's favorite candidate""" + best = utils.index(max(utils)) + ballot = [0] * len(utils) + ballot[best] = getattr(cls, "topRank", 1) + return ballot + + @classmethod + def honTargetBullet(cls, utils, candToHelp, fallback="hon", **kw): + if utils[candToHelp] == max(utils): + return cls.bulletBallot(utils) + elif fallback == "hon": + return cls.honBallot(utils) + elif fallback == "va": + return cls.vaBallot(utils, **kw) + else: + return fallback(utils, **kw) + + @classmethod + def abstain(cls, utils, **kw): + return [0] * len(utils) + + @classmethod + def realisticBullets( + cls, utils, electabilities, baseBullets=0.3, slope=0.35, otherStrat=None, **kw + ): + """ + Randomly bullet votes with bullet voting being more likely when one's favorite is further ahead in the polls + """ + favorite = utils.index(max(utils)) + margin = electabilities[favorite] - max( + electabilities[:favorite] + electabilities[favorite + 1 :] + ) + r = random.Random(utils.id).random() + if r < baseBullets + slope * margin: + return cls.bulletBallot(utils) + if otherStrat is None: + otherStrat = cls.honBallot + return otherStrat(utils, electabilities=electabilities) + + @classmethod + def diehardBallot( + cls, utils, intensity, candToHelp, candToHurt, electabilities=None, polls=None + ): + "Returns a ballot using a diehard strategy with the given intensity" + return cls.honBallot(utils) + + @classmethod + def compBallot( + cls, utils, intensity, candToHelp, candToHurt, electabilities=None, polls=None + ): + "Returns a ballot using a compromising strategy with the given intensity" + return cls.honBallot(utils) + + # lists of which diehard and compromising strategies are available for a voting method + diehardLevels = [] + compLevels = [] + + @classmethod + def defaultbgs(cls): + """Returns a list of the default backgrounds (see vse.threeRoundResults) for the voting method. + These can be individual functions (like cls.honBallot) or (strat, bgargs) tuples + (like (cls.vaBallot, {'pollingUncertainty': 0.4})) + """ + return [cls.honBallot, (cls.vaBallot, {"pollingUncertainty": 0.4})] + + @classmethod + def defaultfgs(cls): + """Returns a list of the default foregrounds (see vse.threeRoundResults) for the voting method.""" + return ( + [ + (cls.diehardBallot, targs, {"intensity": lev}) + for lev in cls.diehardLevels + for targs in [select21, select31] + ] + + [ + (cls.compBallot, targs, {"intensity": lev}) + for lev in cls.compLevels + for targs in [select21, select31] + ] + + [ + (cls.vaBallot, selectRand, {"info": "p"}), + (cls.vaBallot, selectRand, {"info": "e"}), + ] + + [ + ( + cls.honTargetBullet, + targs, + {"fallback": fallback, "info": info, "pollingUncertainty": 0.4}, + ) + for targs in [select12, select21, select31] + for fallback in ["hon", "va"] + for info in ("e", "p") + ] + + [(cls.bulletBallot, selectRand)] + ) + @staticmethod def winner(results): """Simply find the winner once scores are already calculated. Override for @@ -150,8 +176,11 @@ def winner(results): True """ winScore = max(result for result in results if isnum(result)) - winners = [cand for (cand, score) in enumerate(results) if score==winScore] - return random.choice(winners) + winners = [cand for (cand, score) in enumerate(results) if score == winScore] + # return random.choice(winners) + return winners[ + 0 + ] # made it deterministic to prevent nondeterministic behaviors in useful functions def honBallotFor(self, voters): """This is where you would do any setup necessary and create an honBallot @@ -163,195 +192,550 @@ def dummyBallotFor(self, polls): for the given "polling" info.""" return lambda cls, utilities, stratTally: utilities - def resultsFor(self, voters, chooser, tally=None, **kwargs): - """create ballots and get results. - + @classmethod + def stratThresholdSearch( + cls, + targetWinner, + foundAt, + bgBallots, + fgBallots, + fgBaselineBallots, + winnersFound, + ): + """Returns the minimum number of strategists needed to elect targetWinner + and modifies winnersFound to include any additional winners found during the search""" + maxThreshold, minThreshold = foundAt, 0 + while maxThreshold > minThreshold: # binary search for min foreground size + midpoint = int(floor((maxThreshold + minThreshold) / 2)) + midpointBallots = ( + bgBallots + fgBallots[:midpoint] + fgBaselineBallots[midpoint:] + ) + midpointWinner = cls.winner(cls.results(midpointBallots)) + if all(midpointWinner != w for w, _ in winnersFound): + winnersFound.append((midpointWinner, midpoint)) + if midpointWinner == targetWinner: + maxThreshold = midpoint + else: + minThreshold = midpoint + 1 + return maxThreshold + + @classmethod + def resultsFor(cls, voters): + """Create (honest/naive) ballots and get results. Again, test on subclasses. """ - if tally is None: - tally = SideTally() - tally.initKeys(chooser) - return dict(results=self.results([chooser(self.__class__, voter, tally) - for voter in voters], - **kwargs), - chooser=chooser.__name__, - tally=tally) - - def multiResults(self, voters, chooserFuns=(), media=(lambda x,t:x), - checkStrat = True): - """Runs two base elections: first with honest votes, then - with strategic results based on the first results (filtered by - the media). Then, runs a series of elections using each chooserFun - in chooserFuns to select the votes for each voter. - - Returns a tuple of (honResults, stratResults, ...). The stratresults - are based on common polling information, which is given by media(honresults). - """ - from stratFunctions import OssChooser - - honTally = SideTally() - self.__class__.extraEvents = {} - hon = self.resultsFor(voters, self.honBallotFor(voters), honTally, isHonest=True) - - stratTally = SideTally() - - polls = media(hon["results"], stratTally) - winner, _w, target, _t = self.stratTargetFor(sorted(enumerate(polls),key=lambda x:-x[1])) - - strat = self.resultsFor(voters, self.stratBallotFor(polls), stratTally) - - ossTally = SideTally() - oss = self.resultsFor(voters, self.ballotChooserFor(OssChooser()), ossTally) - ossWinner = oss["results"].index(max(oss["results"])) - ossTally["worked"] += (1 if ossWinner==target else - (0 if ossWinner==winner else -1)) - - smart = dict(results=(hon["results"] - if ossTally["worked"] == 1 - else oss["results"]), - chooser="smartOss", - tally=SideTally()) - - extraTallies = Tallies() - results = ([strat, oss, smart] + - [self.resultsFor(voters, self.ballotChooserFor(chooserFun), aTally) - for (chooserFun, aTally) in zip(chooserFuns, extraTallies)] - ) - return ([(hon["results"], hon["chooser"], - list(self.__class__.extraEvents.items()))] + - [(r["results"], r["chooser"], r["tally"].itemList()) for r in results]) - - def vseOn(self, voters, chooserFuns=(), **args): - """Finds honest and strategic voter satisfaction efficiency (VSE) - for this method on the given electorate. - """ - multiResults = self.multiResults(voters, chooserFuns, **args) - utils = voters.socUtils - best = max(utils) - rand = mean(utils) - - #import pprint - #pprint.pprint(multiResults) - vses = VseMethodRun(self.__class__, chooserFuns, - [VseOneRun([(utils[self.winner(result)] - rand) / (best - rand)],tally,chooser) - for (result, chooser, tally) in multiResults[0]]) - vses.extraEvents=multiResults[1] - return vses - - def resultsTable(self, eid, emodel, cands, voters, chooserFuns=(), **args): - multiResults = self.multiResults(voters, chooserFuns, **args) - utils = voters.socUtils - best = max(utils) - rand = mean(utils) - rows = [] - nvot=len(voters) - for (result, chooser, tallyItems) in multiResults: - row = { - "eid":eid, - "emodel":emodel, - "ncand":cands, - "nvot":nvot, - "best":best, - "rand":rand, - "method":str(self), - "chooser":chooser,#.getName(), - "util":utils[self.winner(result)], - "vse":(utils[self.winner(result)] - rand) / (best - rand) - } - #print(tallyItems) - for (i, (k, v)) in enumerate(tallyItems): - #print("Result: tally ",i,k,v) - row[f"tallyName{str(i)}"] = str(k) - row[f"tallyVal{str(i)}"] = str(v) - rows.append(row) - # if len(multiResults[1]): - # row = { - # "eid":eid, - # "emodel":emodel, - # "method":self.__class__.__name__, - # "chooser":"extraEvents", - # "util":None - # } - # for (i, (k, v)) in enumerate(multiResults[1]): - # row["tallyName"+str(i)] = str(k) - # row["tallyVal"+str(i)] = str(v) - # rows.append(row) - return(rows) - + return cls.results([cls.honBallot(v) for v in voters]) @staticmethod - def ballotChooserFor(chooserFun): - """Takes a chooserFun; returns a ballot chooser using that chooserFun - """ - def ballotChooser(cls, voter, tally): - return getattr(voter, f"{cls.__name__}_{chooserFun(cls, voter, tally)}") - - ballotChooser.__name__ = chooserFun.getName() - return ballotChooser - - def stratTarget2(self,places): - ((frontId,frontResult), (targId, targResult)) = places[:2] + def stratTarget2(places): + ((frontId, frontResult), (targId, targResult)) = places[:2] return (frontId, frontResult, targId, targResult) - def stratTarget3(self,places): - ((frontId,frontResult), (targId, targResult)) = places[:3:2] + @staticmethod + def stratTarget3(places): + ((frontId, frontResult), (targId, targResult)) = places[:3:2] + return (frontId, frontResult, targId, targResult) stratTargetFor = stratTarget2 - def stratBallotFor(self,polls): - """Returns a (function which takes utilities and returns a strategic ballot) + @classmethod + def stratBallot(cls, voter, polls, electabilities=None, info="p", **kw): + """Returns a strategic (high-info) ballot, using the strategies in version 1""" + if info == "e": + polls = electabilities + places = sorted(enumerate(polls), key=lambda x: -x[1]) # from high to low + frontId, frontResult, targId, targResult = cls.stratTargetFor(places) + n = len(polls) + stratGap = voter[targId] - voter[frontId] + ballot = [0] * len(voter) + cls.fillStratBallot( + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ) + return ballot + + def stratBallotFor(self, polls): + """DEPRECATED - use stratBallot instead. + Returns a (function which takes utilities and returns a strategic ballot) for the given "polling" info.""" - places = sorted(enumerate(polls),key=lambda x:-x[1]) #from high to low - #print("places",places) + places = sorted(enumerate(polls), key=lambda x: -x[1]) # from high to low + # print("places",places) (frontId, frontResult, targId, targResult) = self.stratTargetFor(places) n = len(polls) + @rememberBallots def stratBallot(cls, voter): stratGap = voter[targId] - voter[frontId] ballot = [0] * len(voter) isStrat = stratGap > 0 - extras = cls.fillStratBallot(voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult) - result = dict(strat=ballot, isStrat=isStrat, stratGap=stratGap) + extras = cls.fillStratBallot( + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ) + result = dict(strat=ballot, isStrat=isStrat, stratGap=stratGap) if extras: result.update(extras) return result + return stratBallot + @decorator def rememberBallot(fun): - """A decorator for a function of the form xxxBallot(cls, voter) + """DEPRECATED - to be removed + A decorator for a function of the form xxxBallot(cls, voter) which memoizes the vote onto the voter in an attribute named _xxx """ + def getAndRemember(cls, voter, tally=None): ballot = fun(cls, voter) setattr(voter, f"{cls.__name__}_{fun.__name__[:-6]}", ballot) return ballot getAndRemember.__name__ = fun.__name__ - getAndRemember.allTallyKeys = lambda:[] + getAndRemember.allTallyKeys = lambda: [] return getAndRemember + @decorator def rememberBallots(fun): - """A decorator for a function of the form xxxBallot(cls, voter) + """DEPRECATED - to be removed + A decorator for a function of the form xxxBallot(cls, voter) which memoizes the vote onto the voter in an attribute named _xxx """ + def getAndRemember(cls, voter, tally=None): ballots = fun(cls, voter) for bType, ballot in ballots.items(): setattr(voter, f"{cls.__name__}_{bType}", ballot) - return ballots[fun.__name__[:-6]] #leave off the "...Ballot" + return ballots[fun.__name__[:-6]] # leave off the "...Ballot" getAndRemember.__name__ = fun.__name__ - getAndRemember.allTallyKeys = lambda:[] + getAndRemember.allTallyKeys = lambda: [] return getAndRemember + +def hybridStrat(voter, stratTuples, **kwForAll): + """Randomly chooses a strategy and uses it. + stratTuples is a list of (strategy, probability, kwargs) tuples + (where kwargs is optional). + Example: + b = hybridStrat(Voter([0,9,10]), + [(Approval.honBallot, 0.4), (Approval.diehardBallot, 0.6, {'intensity': 3})], + electabilities=[.5,.5,.3], candToHelp=2, candToHurt=1) + """ + cumProb, i = 0, -1 + r = random.Random(voter.id).random() + while cumProb < r: + i += 1 + cumProb += stratTuples[i][1] + kwForMethod = {} if len(stratTuples[i]) == 2 else stratTuples[i][2] + return stratTuples[i][0](voter, **kwForAll, **kwForMethod) + + +@functools.lru_cache(maxsize=10000) +def useStrat(voter, strategy, **kw): + """Returns the ballot cast by voter using strategy. + This function exists purely for the sake of memoization. + """ + return strategy(voter, **kw) + + +def paramStrat(strategy, **kw): + """A wrapper for strategy that gives it arguments in addition to voter, polls, electabilities, and targets. + Incompatible with multithreading; use bgArgs and fgArgs in threeRoundResults instead. + """ + + def strat(voter, polls=None, electabilities=None, candToHelp=None, candToHurt=None): + return strategy( + voter, + polls=polls, + electabilities=electabilities, + candToHelp=candToHelp, + candToHurt=candToHurt, + **kw, + ) + + strat.__name__ = strategy.__name__ + for key, value in kw.items(): + strat.__name__ += f"_{str(key)[:4]}{str(value)[:4]}" + return strat + + +def wantToHelp(voter, candToHelp, candToHurt, **kw): + return max(voter[candToHelp] - voter[candToHurt], 0) + + +def selectAB(candA, candB): # candA and candB are candidate IDs + def fgSelect(voter, **kw): + return max(voter[candA] - voter[candB], 0) + + fgSelect.__name__ = f"select{str(candA)}{str(candB)}" + return fgSelect + + +def selectRand(polls, **kw): + return tuple(random.sample(range(len(polls)), 2)) + + +def select12(polls, **kw): + pollOrder = [cand for cand, poll in sorted(enumerate(polls), key=lambda x: -x[1])] + return pollOrder[0], pollOrder[1] + + +def select21(polls, **kw): + pollOrder = [cand for cand, poll in sorted(enumerate(polls), key=lambda x: -x[1])] + return pollOrder[1], pollOrder[0] + + +def select31(polls, **kw): + pollOrder = [cand for cand, poll in sorted(enumerate(polls), key=lambda x: -x[1])] + return pollOrder[2], pollOrder[0] + + +def select012(polls, r0polls, **kw): + pollOrder = [cand for cand, poll in sorted(enumerate(r0polls), key=lambda x: -x[1])] + return pollOrder[0], pollOrder[1] + + +def nullTarget(*args, **kw): + return 0, 0 + + +def selectAll(**kw): + return 1 + + +def selectVoter(voter): + def selectV(v, **kw): + return 1 if v is voter else 0 + + return selectV + + +resultColumns = [ + "method", + "backgroundStrat", + "fgStrat", + "numVoters", + "numCandidates", + "magicBestUtil", + "magicWorstUtil", + "meanCandidateUtil", + "r0ExpectedUtil", + "r0WinnerUtil", + "r1WinnerUtil", + "probOfWin", + "r1WinProb", + "winnerPlaceInR0", + "winnerPlaceInR1", + "results", + "bgArgs", + "fgArgs", + "totalUtil", + "deciderUtilDiffs", + "fgTargets", + "totalStratUtilDiff", + "margStrategicRegret", + "avgStrategicRegret", + "pivotalUtilDiff", + "deciderUtilDiffSum", + "deciderMargUtilDiffs", + "numWinnersFound", + "factionSize", + "factionFraction", +] +for prefix in ["", "min", "t1", "o"]: + resultColumns.extend( + prefix + columnName + for columnName in [ + "fgUtil", + "fgUtilDiff", + "fgSize", + "fgNumHelped", + "fgHelpedUtil", + "fgHelpedUtilDiff", + "fgNumHarmed", + "fgHarmedUtil", + "fgHarmedUtilDiff", + "helpCandElected", + "hurtCandElectedR1", + ] + ) + + +def makeResults(**kw): + return {c: kw.get(c, None) for c in resultColumns} | kw + + +def makePartialResults(fgVoters, winner, r1Winner, prefix, candToHelp, candToHurt): + fgHelped = [] + fgHarmed = [] + numfg = len(fgVoters) + if winner != r1Winner: + for voter in fgVoters: + if voter[winner] > voter[r1Winner]: + fgHelped.append(voter) + elif voter[winner] < voter[r1Winner]: + fgHarmed.append(voter) + + tempDict = dict( + fgUtil=sum(v[winner] for v in fgVoters) / numfg if numfg else 0, + fgUtilDiff=sum(v[winner] - v[r1Winner] for v in fgVoters) / numfg + if numfg + else 0, + fgSize=numfg, + fgNumHelped=len(fgHelped), + fgHelpedUtil=sum(v[winner] for v in fgHelped), + fgHelpedUtilDiff=sum(v[winner] - v[r1Winner] for v in fgHelped), + fgNumHarmed=len(fgHarmed), + fgHarmedUtil=sum(v[winner] for v in fgHarmed), + fgHarmedUtilDiff=sum(v[winner] - v[r1Winner] for v in fgHarmed), + helpCandElected=1 if winner == candToHelp else 0, + hurtCandElectedR1=1 if r1Winner == candToHurt else 0, + ) + return {prefix + key: value for key, value in tempDict.items()} + + +def simplePollsToProbs(polls, uncertainty=0.05): + """Takes approval-style polling as input i.e. a list of floats in the interval [0,1], + and returns a list of the estimated probabilities of each candidate winning based on + uncertainty. Uncertainty is a float that corresponds to the difference in polling + that's required for one candidate to be twice as viable as another. + >>> simplePollsToProbs([.5,.4,.4],.1) + [0.5, 0.25, 0.25] + """ + unnormalizedProbs = [2 ** (pollResult / uncertainty) for pollResult in polls] + normFactor = sum(unnormalizedProbs) + return [p / normFactor for p in unnormalizedProbs] + + +def marginToBetaSize(twosig): + """Takes x, and returns a sample size n such that 2*stdev(beta(n/2,n/2))=x""" + return (1 / (twosig**2)) - 1 + + +def multi_beta_probs_of_highest(parms): + """Given a list of beta distribution params, returns a quick-and-dirty + approximation of the chance that each respective beta is the max across + all of them.""" + + betas = [beta(*parm) for parm in parms] + + def multi_beta_cdf_loss(x): + """Given x, return the loss which (when minimized) leads x to be + the median of the max when drawing one sample from each of the betas.""" + + p = 1.0 + for beta in betas: + p = p * (beta.cdf(x)) + return (0.5 - p) ** 2 + + res = fmin(multi_beta_cdf_loss, np.array([0.5]), disp=False)[0] + + probs = np.array([1 - beta.cdf(res) for beta in betas]) + probs = probs / np.sum(probs) + return probs + + +@functools.lru_cache(maxsize=1000) +def principledPollsToProbs(polls, uncertainty=0.15): + """Takes approval-style polling as input i.e. a list of floats in the interval [0,1], + and returns a list of the estimated probabilities of each candidate winning based on + uncertainty. Uncertainty is a float that corresponds to margin of error (2 standard deviations) for + a candidate that polls exactly 0.5. + + >>> a = principledPollsToProbs((.5,.4,.4),.1); a + array([0.92336235, 0.03831882, 0.03831882]) + >>> a[1] == a[2] + True + >>> b = principledPollsToProbs((.5,.4,.4),.2); b + array([0.6622815 , 0.16885925, 0.16885925]) + >>> a[1] < b[1] + True + >>> b = principledPollsToProbs((.5,.45,.45),.1); b + array([0.6624054, 0.1687973, 0.1687973]) + >>> a[1] < b[1] + True + """ + nonzeroPolls = [] + for poll in polls: + if poll <= 0: + nonzeroPolls.append(0.01) + elif poll >= 1: + nonzeroPolls.append(0.90) + else: + nonzeroPolls.append(poll) + betaSize = marginToBetaSize(uncertainty) + parms = [(betaSize * poll, betaSize * (1 - poll)) for poll in nonzeroPolls] + return multi_beta_probs_of_highest(parms) + + +def pollsToProbs(polls, uncertainty=0.15): + return principledPollsToProbs(tuple(polls), uncertainty) + + +def runnerUpProbs(winProbs): + unnormalizedRunnerUpProbs = [p * (1 - p) for p in winProbs] + normFactor = sum(unnormalizedRunnerUpProbs) + return [u / normFactor for u in unnormalizedRunnerUpProbs] + + +def product(l): + result = 1 + for i in l: + result *= i + return result + + +@functools.lru_cache(maxsize=1000) +def tieFor2NumIntegration(polls, uncertainty): + """Takes approval polling as input and returns a list of the estimated "probabilities" of each candidate + being in a two-way tie for second places, normalized such that the sum is 1. + """ + n = len(polls) + tieProbs = [[0] * n for i in range(n)] + for t1 in range(n): + for t2 in range(t1 + 1, n): + + def integrand(x): + indicesLeft = ( + list(range(t1)) + list(range(t1 + 1, t2)) + list(range(t2 + 1, n)) + ) + return ( + stats.norm.pdf(x, loc=polls[t1], scale=uncertainty) + * stats.norm.pdf(x, loc=polls[t2], scale=uncertainty) + * sum( + product( + (1 - stats.norm.cdf(x, loc=polls[j], scale=uncertainty)) + if i == j + else stats.norm.cdf(x, loc=polls[j], scale=uncertainty) + for j in indicesLeft + ) + for i in indicesLeft + ) + ) + + tieProbs[t1][t2] = integrate.quad(integrand, 0, 1)[0] + tieProbs[t2][t1] = tieProbs[t1][t2] + unnormalizedProbs = [sum(l) for l in tieProbs] + normFactor = sum(unnormalizedProbs) + return [u / normFactor for u in unnormalizedProbs] + + +def tieFor2Probs(polls, uncertainty=0.15): + if len(polls) < 3: + return [0] * len(polls) + return tieFor2NumIntegration(tuple(polls), uncertainty / 2) + + +@functools.lru_cache(maxsize=1000) +def tieFor2Estimate(probs): + """Estimates the probability of each candidate being in a tie for second place, + normalized such that they sum to 1. + >>> tieFor2Estimate((.49,.49,.02)) + [0.29762918476626044, 0.29762918476626044, 0.404741630467479] + >>> tieFor2Estimate((.4999999999,.4999999999,.0000000002)) + [0.2928932188619805, 0.2928932188619805, 0.41421356227603895] + >>> tieFor2Estimate((.99,.005,.005)) + [0.4129948110638391, 0.2935025944680804, 0.2935025944680804] + >>> tieFor2Estimate((0,.5,.5)) + [0.4142135623730952, 0.2928932188134523, 0.2928932188134523] + """ + EXP = 2 + np_probs = np.array(probs) + np.seterr(divide="ignore") + logprobs = np.log(np_probs) + logconv = np.log(1 - np_probs) + np.seterr(divide="warn") + logprobs[logprobs == -np.inf] = -1e9 + logconv[logconv == -np.inf] = -1e9 + unnormalized_log = np.array( + [ + logprobs[i] + + logconv[i] + + ( + logsumexp( + np.array( + [ + [ + (logprobs[j] + logprobs[k]) * EXP + for k, z in enumerate(probs) + if i != k != j + ] + for j, y in enumerate(probs) + if i != j + ] + ) + ) + - logsumexp( + np.array([logprobs[j] * EXP for j, y in enumerate(probs) if i != j]) + ) + ) + / EXP + for i, x in enumerate(probs) + ] + ) + unnormalized = np.exp(unnormalized_log - np.max(unnormalized_log)) + normFactor = sum(unnormalized) + return [float(u / normFactor) for u in unnormalized] + + +def adaptiveTieFor2(polls, uncertainty=0.15): + return tieFor2Estimate(tuple(pollsToProbs(polls, uncertainty))) + + +def appendResults(filename, resultsList, globalComment=dict()): + """append list of results created by makeResults to a csv file. + for instance: + + csvs.saveFile() + """ + needsHeader = not os.path.isfile(baseName) + keys = resultsList[0].keys() # important stuff first + # keys.extend(list(self.rows[0].keys())) # any other stuff I missed; dedup later + keys = uniquify(keys) + + globalComment(version=version) + + with open(baseName + str(i) + ".csv", "a") as myFile: + if needsHeader: + print(f"# {str(globalComment)}", file=myFile) + dw = csv.DictWriter(myFile, keys, restval="NA") + dw.writeheader() + for r in resultsList: + dw.writerow(r) + + +if __name__ == "__main__": + import doctest + + doctest.testmod() + + class CandidateWithCount: - def __init__(self, c = [], v = 0): + def __init__(self, c=None, v=0): + if c is None: + c = [] self.candidate = c - self.votes = v \ No newline at end of file + self.votes = v diff --git a/debug.ipynb b/debug.ipynb new file mode 100644 index 0000000..aed8865 --- /dev/null +++ b/debug.ipynb @@ -0,0 +1,579 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "id": "67627dd4", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "d7596a4a", + "metadata": {}, + "outputs": [], + "source": [ + "e = KSModel()(21, 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "fa7d2655", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[(-0.8383276392889056, -0.6753492906304237, -0.8887994190424836),\n", + " (-0.6633643759903016, -0.5760178570335917, -0.44576617054657963),\n", + " (-0.39676254955351975, -1.129902215315954, -1.0503490129725217),\n", + " (-0.2863211587643865, -1.1560925357377199, -1.0604691011425107),\n", + " (-0.7751653639027697, -0.5592923158138169, -0.748914154795338),\n", + " (-0.8842848337144179, -0.33757670306038073, -0.46898881164778805),\n", + " (-1.5250105148644444, -0.6738133263502639, -0.6922558703312696),\n", + " (-0.7681639741758344, -0.5701359365196744, -0.5479686513663867),\n", + " (-0.5015720530003208, -0.7260230404939145, -0.7665311787465368),\n", + " (-0.6256360999961439, -0.6930238863246416, -0.7642192590782928),\n", + " (-0.48742512889326595, -0.7313970479226186, -0.7321446531380159),\n", + " (-1.4563765260064956, -1.5502223373477384, -1.228841544398382),\n", + " (-1.3556057664815602, -1.0082502689355763, -1.3097756917647807),\n", + " (-0.6111990809979093, -1.3258929563302277, -1.3364178252112815),\n", + " (-0.5205978325534538, -0.9391440880689543, -0.923560865877273),\n", + " (-1.4357331134005296, -0.781828316240508, -1.0204599204448037),\n", + " (-1.3178481920717813, -0.9170426396794381, -0.4716474592198994),\n", + " (-0.4222744476669831, -0.8380228811032177, -0.7983282732973287),\n", + " (-1.8446340840515103, -0.8720802514159317, -1.1172058666619615),\n", + " (-0.6804905094461581, -0.8403954566234689, -0.8982536944199626),\n", + " (-0.5686989724515162, -0.7194283910036114, -0.5736628055731082)]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "e" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "8fb2b3e3", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[{'method': 'ApprovalPoll',\n", + " 'backgroundStrat': 'honBallot',\n", + " 'fgStrat': None,\n", + " 'numVoters': 21,\n", + " 'numCandidates': 3,\n", + " 'magicBestUtil': -0.8390919877119843,\n", + " 'magicWorstUtil': -0.8554996293939148,\n", + " 'meanCandidateUtil': -0.848110860141276,\n", + " 'r0ExpectedUtil': -0.8554968742960292,\n", + " 'r0WinnerUtil': -0.8554996293939148,\n", + " 'r1WinnerUtil': -0.8554996293939148,\n", + " 'probOfWin': 0.9997514157147259,\n", + " 'r1WinProb': 0.9997514157147259,\n", + " 'winnerPlaceInR0': None,\n", + " 'winnerPlaceInR1': None,\n", + " 'results': [0.47619047619047616, 0.38095238095238093, 0.38095238095238093],\n", + " 'bgArgs': {},\n", + " 'fgArgs': None,\n", + " 'totalUtil': -0.8554996293939148,\n", + " 'deciderUtilDiffs': None,\n", + " 'fgTargets': None,\n", + " 'totalStratUtilDiff': None,\n", + " 'margStrategicRegret': None,\n", + " 'avgStrategicRegret': None,\n", + " 'pivotalUtilDiff': None,\n", + " 'deciderUtilDiffSum': None,\n", + " 'deciderMargUtilDiffs': None,\n", + " 'numWinnersFound': None,\n", + " 'factionSize': None,\n", + " 'factionFraction': None,\n", + " 'fgUtil': None,\n", + " 'fgUtilDiff': None,\n", + " 'fgSize': None,\n", + " 'fgNumHelped': None,\n", + " 'fgHelpedUtil': None,\n", + " 'fgHelpedUtilDiff': None,\n", + " 'fgNumHarmed': None,\n", + " 'fgHarmedUtil': None,\n", + " 'fgHarmedUtilDiff': None,\n", + " 'helpCandElected': None,\n", + " 'hurtCandElectedR1': None,\n", + " 'minfgUtil': None,\n", + " 'minfgUtilDiff': None,\n", + " 'minfgSize': None,\n", + " 'minfgNumHelped': None,\n", + " 'minfgHelpedUtil': None,\n", + " 'minfgHelpedUtilDiff': None,\n", + " 'minfgNumHarmed': None,\n", + " 'minfgHarmedUtil': None,\n", + " 'minfgHarmedUtilDiff': None,\n", + " 'minhelpCandElected': None,\n", + " 'minhurtCandElectedR1': None,\n", + " 't1fgUtil': None,\n", + " 't1fgUtilDiff': None,\n", + " 't1fgSize': None,\n", + " 't1fgNumHelped': None,\n", + " 't1fgHelpedUtil': None,\n", + " 't1fgHelpedUtilDiff': None,\n", + " 't1fgNumHarmed': None,\n", + " 't1fgHarmedUtil': None,\n", + " 't1fgHarmedUtilDiff': None,\n", + " 't1helpCandElected': None,\n", + " 't1hurtCandElectedR1': None,\n", + " 'ofgUtil': None,\n", + " 'ofgUtilDiff': None,\n", + " 'ofgSize': None,\n", + " 'ofgNumHelped': None,\n", + " 'ofgHelpedUtil': None,\n", + " 'ofgHelpedUtilDiff': None,\n", + " 'ofgNumHarmed': None,\n", + " 'ofgHarmedUtil': None,\n", + " 'ofgHarmedUtilDiff': None,\n", + " 'ohelpCandElected': None,\n", + " 'ohurtCandElectedR1': None,\n", + " 'electorate': UUID('dc40985b-b214-4285-a721-38d6f6d08380')},\n", + " {'method': 'IRV',\n", + " 'backgroundStrat': 'honBallot',\n", + " 'fgStrat': None,\n", + " 'numVoters': 21,\n", + " 'numCandidates': 3,\n", + " 'magicBestUtil': -0.8390919877119843,\n", + " 'magicWorstUtil': -0.8554996293939148,\n", + " 'meanCandidateUtil': -0.848110860141276,\n", + " 'r0ExpectedUtil': -0.8554968742960292,\n", + " 'r0WinnerUtil': -0.8554996293939148,\n", + " 'r1WinnerUtil': -0.8554996293939148,\n", + " 'probOfWin': 0.9997514157147259,\n", + " 'r1WinProb': 0.9997514157147259,\n", + " 'winnerPlaceInR0': 1,\n", + " 'winnerPlaceInR1': None,\n", + " 'results': [0.5238095238095238, 0.47619047619047616, 0.3333333333333333],\n", + " 'bgArgs': {},\n", + " 'fgArgs': None,\n", + " 'totalUtil': -0.8554996293939148,\n", + " 'deciderUtilDiffs': None,\n", + " 'fgTargets': None,\n", + " 'totalStratUtilDiff': None,\n", + " 'margStrategicRegret': None,\n", + " 'avgStrategicRegret': None,\n", + " 'pivotalUtilDiff': None,\n", + " 'deciderUtilDiffSum': None,\n", + " 'deciderMargUtilDiffs': None,\n", + " 'numWinnersFound': None,\n", + " 'factionSize': None,\n", + " 'factionFraction': None,\n", + " 'fgUtil': None,\n", + " 'fgUtilDiff': None,\n", + " 'fgSize': None,\n", + " 'fgNumHelped': None,\n", + " 'fgHelpedUtil': None,\n", + " 'fgHelpedUtilDiff': None,\n", + " 'fgNumHarmed': None,\n", + " 'fgHarmedUtil': None,\n", + " 'fgHarmedUtilDiff': None,\n", + " 'helpCandElected': None,\n", + " 'hurtCandElectedR1': None,\n", + " 'minfgUtil': None,\n", + " 'minfgUtilDiff': None,\n", + " 'minfgSize': None,\n", + " 'minfgNumHelped': None,\n", + " 'minfgHelpedUtil': None,\n", + " 'minfgHelpedUtilDiff': None,\n", + " 'minfgNumHarmed': None,\n", + " 'minfgHarmedUtil': None,\n", + " 'minfgHarmedUtilDiff': None,\n", + " 'minhelpCandElected': None,\n", + " 'minhurtCandElectedR1': None,\n", + " 't1fgUtil': None,\n", + " 't1fgUtilDiff': None,\n", + " 't1fgSize': None,\n", + " 't1fgNumHelped': None,\n", + " 't1fgHelpedUtil': None,\n", + " 't1fgHelpedUtilDiff': None,\n", + " 't1fgNumHarmed': None,\n", + " 't1fgHarmedUtil': None,\n", + " 't1fgHarmedUtilDiff': None,\n", + " 't1helpCandElected': None,\n", + " 't1hurtCandElectedR1': None,\n", + " 'ofgUtil': None,\n", + " 'ofgUtilDiff': None,\n", + " 'ofgSize': None,\n", + " 'ofgNumHelped': None,\n", + " 'ofgHelpedUtil': None,\n", + " 'ofgHelpedUtilDiff': None,\n", + " 'ofgNumHarmed': None,\n", + " 'ofgHarmedUtil': None,\n", + " 'ofgHarmedUtilDiff': None,\n", + " 'ohelpCandElected': None,\n", + " 'ohurtCandElectedR1': None,\n", + " 'electorate': UUID('dc40985b-b214-4285-a721-38d6f6d08380')},\n", + " {'method': 'IRV',\n", + " 'backgroundStrat': 'honBallot',\n", + " 'fgStrat': 'diehardBallot',\n", + " 'numVoters': 21,\n", + " 'numCandidates': 3,\n", + " 'magicBestUtil': -0.8390919877119843,\n", + " 'magicWorstUtil': -0.8554996293939148,\n", + " 'meanCandidateUtil': -0.848110860141276,\n", + " 'r0ExpectedUtil': -0.8554968742960292,\n", + " 'r0WinnerUtil': -0.8554996293939148,\n", + " 'r1WinnerUtil': -0.8554996293939148,\n", + " 'probOfWin': 0.0001242921426370457,\n", + " 'r1WinProb': 0.9997514157147259,\n", + " 'winnerPlaceInR0': 2,\n", + " 'winnerPlaceInR1': 2,\n", + " 'results': [0.47619047619047616, 0.5238095238095238, 0.3333333333333333],\n", + " 'bgArgs': {},\n", + " 'fgArgs': {'intensity': 3},\n", + " 'totalUtil': -0.8390919877119843,\n", + " 'deciderUtilDiffs': None,\n", + " 'fgTargets': 'select31',\n", + " 'totalStratUtilDiff': 0.8278021714902255,\n", + " 'margStrategicRegret': 0.8486031022478066,\n", + " 'avgStrategicRegret': 1.67197071690509,\n", + " 'pivotalUtilDiff': 2.4512201694901035,\n", + " 'deciderUtilDiffSum': 0.19802803765615995,\n", + " 'deciderMargUtilDiffs': [(0.19802803765615995, 6, 0.08078753598757848)],\n", + " 'numWinnersFound': 2,\n", + " 'factionSize': 10,\n", + " 'factionFraction': 0.7,\n", + " 'fgUtil': -0.7846259952396921,\n", + " 'fgUtilDiff': 0.4179926792262725,\n", + " 'fgSize': 10,\n", + " 'fgNumHelped': 9,\n", + " 'fgHelpedUtil': -6.296037615049182,\n", + " 'fgHelpedUtilDiff': 4.273772603603967,\n", + " 'fgNumHarmed': 1,\n", + " 'fgHarmedUtil': -1.5502223373477384,\n", + " 'fgHarmedUtilDiff': -0.09384581134124281,\n", + " 'helpCandElected': 0,\n", + " 'hurtCandElectedR1': 1,\n", + " 'minfgUtil': -0.8554272623490435,\n", + " 'minfgUtilDiff': 0.5552206150024864,\n", + " 'minfgSize': 6,\n", + " 'minfgNumHelped': 5,\n", + " 'minfgHelpedUtil': -3.5823412367465224,\n", + " 'minfgHelpedUtilDiff': 3.4251695013561614,\n", + " 'minfgNumHarmed': 1,\n", + " 'minfgHarmedUtil': -1.5502223373477384,\n", + " 'minfgHarmedUtilDiff': -0.09384581134124281,\n", + " 'minhelpCandElected': 0,\n", + " 'minhurtCandElectedR1': 1,\n", + " 't1fgUtil': None,\n", + " 't1fgUtilDiff': None,\n", + " 't1fgSize': None,\n", + " 't1fgNumHelped': None,\n", + " 't1fgHelpedUtil': None,\n", + " 't1fgHelpedUtilDiff': None,\n", + " 't1fgNumHarmed': None,\n", + " 't1fgHarmedUtil': None,\n", + " 't1fgHarmedUtilDiff': None,\n", + " 't1helpCandElected': None,\n", + " 't1hurtCandElectedR1': None,\n", + " 'ofgUtil': None,\n", + " 'ofgUtilDiff': None,\n", + " 'ofgSize': None,\n", + " 'ofgNumHelped': None,\n", + " 'ofgHelpedUtil': None,\n", + " 'ofgHelpedUtilDiff': None,\n", + " 'ofgNumHarmed': None,\n", + " 'ofgHarmedUtil': None,\n", + " 'ofgHarmedUtilDiff': None,\n", + " 'ohelpCandElected': None,\n", + " 'ohurtCandElectedR1': None,\n", + " 'electorate': UUID('dc40985b-b214-4285-a721-38d6f6d08380')}]" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "threeRoundResults(\n", + " IRV,\n", + " e,\n", + " IRV.honBallot,\n", + " [(IRV.diehardBallot, select31, {\"intensity\": 3})],\n", + " pollingError=0.0,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "709e6694", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.5238095238095238, 0.47619047619047616, 0.3333333333333333]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "IRV.results(IRV.honBallot(v) for v in e)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "d62d711c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.47619047619047616, 0.3333333333333333, 0.19047619047619047]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Plurality.results(Plurality.honBallot(v) for v in e)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "173df507", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.47619047619047616, 0.5238095238095238, 0.3333333333333333]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "IRV.results(\n", + " IRV.honBallot(v)\n", + " if v[2] <= v[0]\n", + " else IRV.diehardBallot(v, intensity=3, candToHelp=2, candToHurt=0)\n", + " for v in e\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d4fb6426", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1, 2, 0], [0, 1, 2], [2, 0, 1], [2, 0, 1], [0, 2, 1], [0, 2, 1], [0, 2, 1], [0, 1, 2], [2, 1, 0], [2, 1, 0], [2, 1, 0], [1, 0, 2], [0, 2, 1], [2, 1, 0], [2, 0, 1], [0, 2, 1], [0, 1, 2], [2, 0, 1], [0, 2, 1], [2, 1, 0], [2, 0, 1]]\n", + "[[1, 2, 0], [0, 1, 2], [2, 0, 1], [2, 0, 1], [0, 2, 1], [0, 2, 1], [0, 2, 1], [0, 1, 2], [2, 1, 0], [2, 1, 0], [2, 1, 0], [0, 1, 2], [0, 2, 1], [2, 1, 0], [2, 0, 1], [0, 2, 1], [0, 1, 2], [2, 0, 1], [0, 2, 1], [2, 1, 0], [2, 0, 1]]\n", + "[(-0.8383276392889056, -0.6753492906304237, -0.8887994190424836), (-0.6633643759903016, -0.5760178570335917, -0.44576617054657963), (-0.39676254955351975, -1.129902215315954, -1.0503490129725217), (-0.2863211587643865, -1.1560925357377199, -1.0604691011425107), (-0.7751653639027697, -0.5592923158138169, -0.748914154795338), (-0.8842848337144179, -0.33757670306038073, -0.46898881164778805), (-1.5250105148644444, -0.6738133263502639, -0.6922558703312696), (-0.7681639741758344, -0.5701359365196744, -0.5479686513663867), (-0.5015720530003208, -0.7260230404939145, -0.7665311787465368), (-0.6256360999961439, -0.6930238863246416, -0.7642192590782928), (-0.48742512889326595, -0.7313970479226186, -0.7321446531380159), (-1.4563765260064956, -1.5502223373477384, -1.228841544398382), (-1.3556057664815602, -1.0082502689355763, -1.3097756917647807), (-0.6111990809979093, -1.3258929563302277, -1.3364178252112815), (-0.5205978325534538, -0.9391440880689543, -0.923560865877273), (-1.4357331134005296, -0.781828316240508, -1.0204599204448037), (-1.3178481920717813, -0.9170426396794381, -0.4716474592198994), (-0.4222744476669831, -0.8380228811032177, -0.7983282732973287), (-1.8446340840515103, -0.8720802514159317, -1.1172058666619615), (-0.6804905094461581, -0.8403954566234689, -0.8982536944199626), (-0.5686989724515162, -0.7194283910036114, -0.5736628055731082)]\n" + ] + } + ], + "source": [ + "print([IRV.honBallot(v) for v in e])\n", + "print(\n", + " [\n", + " IRV.honBallot(v)\n", + " if v[2] <= v[0]\n", + " else IRV.diehardBallot(v, intensity=3, candToHelp=2, candToHurt=0)\n", + " for v in e\n", + " ]\n", + ")\n", + "print(e)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "ade439dd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-1.4563765260064956, -1.5502223373477384, -1.228841544398382)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "e[11]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d16e892d", + "metadata": {}, + "outputs": [], + "source": [ + "badElectorate = [\n", + " (-0.8383276392889056, -0.6753492906304237, -0.8887994190424836),\n", + " (-0.6633643759903016, -0.5760178570335917, -0.44576617054657963),\n", + " (-0.39676254955351975, -1.129902215315954, -1.0503490129725217),\n", + " (-0.2863211587643865, -1.1560925357377199, -1.0604691011425107),\n", + " (-0.7751653639027697, -0.5592923158138169, -0.748914154795338),\n", + " (-0.8842848337144179, -0.33757670306038073, -0.46898881164778805),\n", + " (-1.5250105148644444, -0.6738133263502639, -0.6922558703312696),\n", + " (-0.7681639741758344, -0.5701359365196744, -0.5479686513663867),\n", + " (-0.5015720530003208, -0.7260230404939145, -0.7665311787465368),\n", + " (-0.6256360999961439, -0.6930238863246416, -0.7642192590782928),\n", + " (-0.48742512889326595, -0.7313970479226186, -0.7321446531380159),\n", + " (-1.4563765260064956, -1.5502223373477384, -1.228841544398382),\n", + " (-1.3556057664815602, -1.0082502689355763, -1.3097756917647807),\n", + " (-0.6111990809979093, -1.3258929563302277, -1.3364178252112815),\n", + " (-0.5205978325534538, -0.9391440880689543, -0.923560865877273),\n", + " (-1.4357331134005296, -0.781828316240508, -1.0204599204448037),\n", + " (-1.3178481920717813, -0.9170426396794381, -0.4716474592198994),\n", + " (-0.4222744476669831, -0.8380228811032177, -0.7983282732973287),\n", + " (-1.8446340840515103, -0.8720802514159317, -1.1172058666619615),\n", + " (-0.6804905094461581, -0.8403954566234689, -0.8982536944199626),\n", + " (-0.5686989724515162, -0.7194283910036114, -0.5736628055731082),\n", + "]\n", + "pivotalIndex = 11\n", + "pv = badElectorate[11]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "22b23b24", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-0.5128973279201179" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(pv[1] - pv[0]) / (max(pv) - mean(pv))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "42ba5512", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1.2988790055961161,\n", + " 0.7533121698433897,\n", + " -1.5860514567397581,\n", + " -1.5872519412627861,\n", + " 1.5971080398710527,\n", + " 2.4186335948279307,\n", + " 2.936378675127606,\n", + " 2.4512201694901035,\n", + " -1.3758460323251227,\n", + " -0.9815139634497375,\n", + " -1.4977052845133059,\n", + " -0.5128973279201179,\n", + " 1.6059441107243835,\n", + " -1.4890359296062274,\n", + " -1.5284535228086675,\n", + " 2.1979096745874105,\n", + " 0.9309542131441471,\n", + " -1.5751979563420604,\n", + " 2.3960833887626,\n", + " -1.2702020655001562,\n", + " -2.904353597829749]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[(v[1] - v[0]) / (max(v) - mean(v)) for v in e]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "6a6c2bc7", + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'v' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp/ipykernel_31312/2289972715.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mv\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m7\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[1;31mNameError\u001b[0m: name 'v' is not defined" + ] + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "430f2a92", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/debugDump.py b/debugDump.py index 3202098..6e22b1c 100644 --- a/debugDump.py +++ b/debugDump.py @@ -1,10 +1,11 @@ - DEBUG = True + def debug(*args): if DEBUG: print(*args) - + + def setDebug(state): global DEBUG DEBUG = state diff --git a/docs/stratbreakdown.html b/docs/stratbreakdown.html index d33fb65..3fef0f3 100644 --- a/docs/stratbreakdown.html +++ b/docs/stratbreakdown.html @@ -1,47 +1,428 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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+ + + diff --git a/ksMoreResults3.csv.zip b/ksMoreResults3.csv.zip deleted file mode 100644 index 033aac5..0000000 Binary files a/ksMoreResults3.csv.zip and /dev/null differ diff --git a/ksresults3.csv.zip b/ksresults3.csv.zip deleted file mode 100644 index 6726a04..0000000 Binary files a/ksresults3.csv.zip and /dev/null differ diff --git a/methods.py b/methods.py index c1c282f..76a1150 100644 --- a/methods.py +++ b/methods.py @@ -1,53 +1,66 @@ - -from mydecorators import autoassign, cached_property, setdefaultattr, decorator import random -from numpy.lib.scimath import sqrt +from math import log, nan +from test.test_binop import isnum + +from numpy import argsort, percentile, sign from numpy.core.fromnumeric import mean, std from numpy.lib.function_base import median -from numpy.ma.core import floor, ceil -from numpy import percentile, argsort, sign -from test.test_binop import isnum +from numpy.lib.scimath import sqrt +from numpy.ma.core import ceil, floor + +from dataClasses import ( + Method, + adaptiveTieFor2, + simplePollsToProbs, + pollsToProbs, + rememberBallots, +) from debugDump import * -from math import log - +from mydecorators import autoassign, cached_property, decorator, setdefaultattr from stratFunctions import * -from dataClasses import * -# def sign(x): -# if x>0: -# return 1 -# if x<0: -# return -1 -# return 0 -####EMs themselves class Borda(Method): candScore = staticmethod(mean) - nRanks = 999 # infinity + nRanks = 999 # infinity + + @classmethod + def results(cls, ballots, **kwargs): + """ + >>> Borda.results([[3,2,1,0]]*5+[[0,3,2,1]]*2) + [0.5357142857142857, 0.5714285714285714, 0.32142857142857145, 0.07142857142857142] + """ + if type(ballots) is not list: + ballots = list(ballots) + n = len(ballots[0]) + return [mean(x) / n for x in zip(*ballots)] @staticmethod - def fillPrefOrder(voter, ballot, - whichCands=None, #None means "all"; otherwise, an iterable of cand indexes - lowSlot=0, - nSlots=None, #again, None means "all" - remainderScore=None #what to give candidates that don't fit in nSlots - ): + def fillPrefOrder( + voter, + ballot, + whichCands=None, # None means "all"; otherwise, an iterable of cand indexes + lowSlot=0, + nSlots=None, # again, None means "all" + remainderScore=None, # what to give candidates that don't fit in nSlots + ): venum = list(enumerate(voter)) if whichCands: venum = [venum[c] for c in whichCands] - prefOrder = sorted(venum,key=lambda x:-x[1]) #high to low + prefOrder = sorted(venum, key=lambda x: -x[1]) # high to low Borda.fillCands(ballot, prefOrder, lowSlot, nSlots, remainderScore) - #modifies ballot argument, returns nothing. + # modifies ballot argument, returns nothing. @staticmethod - def fillCands(ballot, - whichCands, #list of tuples starting with cand id, in descending order - lowSlot=0, - nSlots=None, #again, None means "all" - remainderScore=None #what to give candidates that don't fit in nSlots - ): + def fillCands( + ballot, + whichCands, # list of tuples starting with cand id, in descending order + lowSlot=0, + nSlots=None, # again, None means "all" + remainderScore=None, # what to give candidates that don't fit in nSlots + ): if nSlots is None: nSlots = len(whichCands) cur = lowSlot + nSlots - 1 @@ -59,41 +72,90 @@ def fillCands(ballot, while i < len(whichCands): ballot[whichCands[i][0]] = remainderScore i += 1 - #modifies ballot argument, returns nothing. + # modifies ballot argument, returns nothing. - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, utils): + @classmethod + def honBallot(cls, utils, **kw): ballot = [0] * len(utils) cls.fillPrefOrder(utils, ballot) return ballot + @classmethod + def vaBallot( + cls, + utils, + electabilities, + polls=None, + winProbs=None, + pollingUncertainty=0.3, + info="e", + **kw, + ): + """Uses a mix of compromising and burial. + + >>> Borda.vaBallot((0,1,2,3), [.2, .4, .4, .2]) + [1, 0, 3, 2] + """ + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + scores = [(u - expectedUtility) * p for u, p in zip(utils, winProbs)] + ballot = [0] * len(utils) + cls.fillPrefOrder(scores, ballot) + return ballot @classmethod - def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult): + def fillStratBallot( + cls, + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ): """Mutates the `ballot` argument to be a strategic ballot. - >>> Borda().stratBallotFor([4,5,2,1])(Borda, Voter([-4,-5,-2,-1])) + >>> Borda.stratBallot(Voter([-4,-5,-2,-1]), [4,5,2,1]) [3, 0, 1, 2] """ - nRanks = min(cls.nRanks,n) + nRanks = min(cls.nRanks, n) if stratGap <= 0: ballot[frontId], ballot[targId] = (nRanks - 1), 0 else: ballot[frontId], ballot[targId] = 0, (nRanks - 1) nRanks -= 2 if nRanks > 0: - cls.fillCands(ballot, places[2:][::-1], - lowSlot=1, nSlots=nRanks, remainderScore=0) + cls.fillCands( + ballot, places[2:][::-1], lowSlot=1, nSlots=nRanks, remainderScore=0 + ) # (don't) return dict(strat=ballot, isStrat=isStrat, stratGap=stratGap) -RankedMethod = Borda #alias -RatedMethod = RankedMethod #Should have same strategies available, plus more + +RankedMethod = Borda # alias +RatedMethod = RankedMethod # Should have same strategies available, plus more + class Plurality(RankedMethod): nRanks = 2 + compLevels = [3] + + @classmethod + def results(cls, ballots, **kwargs): + """ + >>> Plurality.results([[1,0]]*3+[[0,1]]*2) + [0.6, 0.4] + """ + if type(ballots) is not list: + ballots = list(ballots) + return list(map(mean, zip(*ballots))) @staticmethod def oneVote(utils, forWhom): @@ -101,21 +163,57 @@ def oneVote(utils, forWhom): ballot[forWhom] = 1 return ballot - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, utils): + @classmethod + def honBallot(cls, utils, **kw): """Takes utilities and returns an honest ballot - >>> Plurality.honBallot(Plurality, Voter([-3,-2,-1])) + >>> Plurality.honBallot(Voter([-3,-2,-1])) [0, 0, 1] - >>> Plurality().stratBallotFor([3,2,1])(Plurality, Voter([-3,-2,-1])) - [0, 1, 0] """ - #return cls.oneVote(utils, cls.winner(utils)) + # return cls.oneVote(utils, cls.winner(utils)) ballot = [0] * len(utils) - cls.fillPrefOrder(utils, ballot, - nSlots = 1, lowSlot=1, remainderScore=0) + cls.fillPrefOrder(utils, ballot, nSlots=1, lowSlot=1, remainderScore=0) return ballot + + @classmethod + def vaBallot( + cls, + utils, + electabilities=None, + polls=None, + pollingUncertainty=0.15, + winProbs=None, + info="e", + **kw, + ): + """Uses compromising without a specific target + + >>> Plurality.vaBallot((0,1,2), [.3, .3, .2]) + [0, 1, 0] + >>> Plurality.vaBallot((0,1,10), [.3, .3, .2]) + [0, 0, 1] + """ + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + scores = [(u - expectedUtility) * p for u, p in zip(utils, winProbs)] + return cls.oneVote(scores, scores.index(max(scores))) + + @classmethod + def compBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + """ + >>> Plurality.compBallot((0,1,10), 3, candToHelp=1, candToHurt=0) + [0, 1, 0] + >>> Plurality.compBallot((0,1,10), 3, candToHelp=2, candToHurt=0) + [0, 0, 1] + """ + if intensity < 3 or utils[candToHelp] <= utils[candToHurt]: + return super().compBallot(utils, intensity, candToHelp, candToHurt, **kw) + else: + return cls.oneVote(utils, candToHelp) + # # @classmethod # def xxstratBallot(cls, voter, polls, places, n, @@ -140,9 +238,120 @@ def honBallot(cls, utils): # return dict(strat=strat, isStrat=isStrat, stratGap=stratGap) +def top2(noRunoffMethod): + """Returns a top-2 variant of the given voting method""" -def Score(topRank=10, asClass=False): + class Top2Version(noRunoffMethod): + """Ballots are (r1Ballot, r2Preferences) tuples""" + + @classmethod + def results(cls, ballots): + r1Ballots, r2Preferences = zip(*ballots) + baseResults = super().results(r1Ballots) + (runnerUp, top) = sorted( + range(len(baseResults)), key=lambda i: baseResults[i] + )[-2:] + upset = sum(sign(rank[runnerUp] - rank[top]) for rank in r2Preferences) + if upset > 0: + baseResults[runnerUp] = baseResults[top] + 0.01 + return baseResults + + @classmethod + def prefOrder(cls, utils): + order = [0] * len(utils) + Borda.fillPrefOrder(utils, order) + return order + + @classmethod + def honBallot(cls, utils, **kw): + return super().honBallot(utils, **kw), cls.prefOrder(utils) + + @classmethod + def vaBallot( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.15, + info="e", + probFunc=adaptiveTieFor2, + **kw, + ): + if info == "p": + electabilities = polls + if not winProbs: + winProbs = probFunc(electabilities, pollingUncertainty) + return ( + super().vaBallot( + utils, winProbs=winProbs, pollingUncertainty=pollingUncertainty + ), + cls.prefOrder(utils), + ) + + @classmethod + def bulletBallot(cls, utils, **kw): + return super().bulletBallot(utils), cls.prefOrder(utils) + @classmethod + def compBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + return ( + super().compBallot(utils, intensity, candToHelp, candToHurt), + cls.prefOrder(utils), + ) + + @classmethod + def diehardBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + return ( + super().diehardBallot(utils, intensity, candToHelp, candToHurt), + cls.prefOrder(utils), + ) + + @classmethod + def stratBallot(cls, voter, *args, **kws): + return (super().stratBallot(voter, *args, **kws), cls.prefOrder(voter)) + + @classmethod + def abstain(cls, utils, **kw): + return [0] * len(utils), [0] * len(utils) + + Top2Version.__name__ = f"{noRunoffMethod.__name__}Top2" + return Top2Version + + +class PluralityTop2(top2(Plurality)): + """top2(Plurality).vaBallot can yield ridiculous results when used by the entire electorate + since it's based on causal decision theory. This class fixes that. + + >>> PluralityTop2.results([([0, 0, 1], [0, 1, 2])]*3+[([1, 0, 0], [2, 1, 0])]*2) + [0.4, 0.0, 0.6] + >>> PluralityTop2.results([([0, 0, 1], [0, 1, 2])]*5+[([1, 0, 0], [2, 1, 0])]*4+[([0, 1, 0], [1, 2, 0])]*2) + [0.46454545454545454, 0.18181818181818182, 0.45454545454545453] + >>> PluralityTop2.honBallot((0,1,5,2,3)) + ([0, 0, 1, 0, 0], [0, 1, 4, 2, 3]) + >>> PluralityTop2.compBallot((0,1,10), 3, candToHelp=1, candToHurt=0) + ([0, 1, 0], [0, 1, 2]) + >>> PluralityTop2.stratBallot([0,1,2,3],[.51,.5,.49,.4]) + ([0, 1, 0, 0], [0, 1, 2, 3]) + """ + + @classmethod + def vaBallot(cls, utils, electabilities=None, **kw): + """ + >>> PluralityTop2.vaBallot((0,1,2), [.3, .3, .2]) + ([0, 0, 1], [0, 1, 2]) + >>> PluralityTop2.vaBallot((0,1,2,3), [.3, .3, .2, .1]) + ([0, 0, 1, 0], [0, 1, 2, 3]) + """ + if electabilities and utils.index(max(utils)) == electabilities.index( + max(electabilities) + ): + return cls.honBallot(utils) + else: + return super().vaBallot(utils, electabilities=electabilities, **kw) + + +def makeScoreMethod(topRank=10, asClass=False): class Score0to(Method): """Score voting, 0-10. @@ -167,30 +376,57 @@ class Score0to(Method): """ - #>>> qs += [Score().resultsFor(PolyaModel()(101,2),Score.honBallot)[0] for i in range(800)] - #>>> std(qs) - #2.770135393419682 - #>>> mean(qs) - #5.1467202970297032 + # >>> qs += [Score().resultsFor(PolyaModel()(101,2),Score.honBallot)[0] for i in range(800)] + # >>> std(qs) + # 2.770135393419682 + # >>> mean(qs) + # 5.1467202970297032 bias2 = 2.770135393419682 - #>>> qs5 = [Score().resultsFor(PolyaModel()(101,5),Score.honBallot)[0] for i in range(400)] - #>>> mean(qs5) - #4.920247524752476 - #>>> std(qs5) - #2.3536762480634343 + # >>> qs5 = [Score().resultsFor(PolyaModel()(101,5),Score.honBallot)[0] for i in range(400)] + # >>> mean(qs5) + # 4.920247524752476 + # >>> std(qs5) + # 2.3536762480634343 bias5 = 2.3536762480634343 - candScore = staticmethod(mean) - #"""Takes the list of votes for a candidate; returns the candidate's score.""" + compLevels = [1, 2] + diehardLevels = [1, 2, 4] + @classmethod + def candScore(cls, scores): + """Takes the list of votes for a candidate; returns the candidate's score. + + Don't just use mean because we want to normalize to [0,1]""" + return mean(scores) / cls.topRank + + @classmethod + def interpolatedBallot(cls, utils, lowThreshold, highThreshold): + """ + >>> Score.interpolatedBallot([0,1,2,3,4,5], 1.5, 3.5) + [0, 0, 1.0, 4.0, 5, 5] + """ + ballot = [] + for util in utils: + if util < lowThreshold: + ballot.append(0) + elif util > highThreshold: + ballot.append(cls.topRank) + else: + ballot.append( + floor( + (cls.topRank + 0.99) + * (util - lowThreshold) + / (highThreshold - lowThreshold) + ) + ) + return ballot def __str__(self): if self.topRank == 1: return "IdealApproval" return self.__class__.__name__ + str(self.topRank) - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, utils): + @classmethod + def honBallot(cls, utils, **kw): """Takes utilities and returns an honest ballot (on 0..10) @@ -200,50 +436,315 @@ def honBallot(cls, utils): >>> Score().resultsFor(DeterministicModel(3)(5,3),Score().honBallot)["results"] [4.0, 6.0, 5.0] """ + # raise Exception("NOT") bot = min(utils) - scale = max(utils)-bot - return [floor((cls.topRank + .99) * (util-bot) / scale) for util in utils] + scale = max(utils) - bot + return [ + floor((cls.topRank + 0.99) * (util - bot) / scale) for util in utils + ] + + @classmethod + def zeroInfoBallot(cls, utils, exp=2, bottomSD=float("inf"), **kw): + """ + Casts an honest ballot without the use of any polling data. + Less influenced by exceptionally bad candidates than honBallot when bottomSD is low. + When exp > 1, spreads out the top scores more than the bottom ones. + >>> Score.zeroInfoBallot([0,1.1,2], 2) + [0.0, 1.0, 5.0] + >>> Score.zeroInfoBallot([0,1.1,2], .5) + [0.0, 4.0, 5.0] + >>> Score.zeroInfoBallot([0,1,2,3,4,5,6], 2) + [0.0, 0.0, 0.0, 0.0, 2.0, 3.0, 5.0] + >>> Score.zeroInfoBallot([-10,1,2,3,4,5,6], 2,2) + [0.0, 2.0, 3.0, 3.0, 4.0, 5.0, 5.0] + >>> Score.zeroInfoBallot([-10,1,2,3,4,5,6], 2,1) + [0.0, 1.0, 1.0, 2.0, 3.0, 4.0, 5.0] + """ + expectedUtility = sum(utils) / len(utils) + effectiveWorst = max(min(utils), expectedUtility - bottomSD * std(utils)) + adjustedUtils = [max(u - effectiveWorst, 0) ** exp for u in utils] + return cls.interpolatedBallot(adjustedUtils, 0, max(adjustedUtils)) + + @classmethod + def exaggeratedBallot(cls, utils, pickiness=0.4, **kw): + """Returns a ballot based on utils and pickiness + with all candidates receiving either 0 or the maximum score. + pickiness=0 corresponds to vaBallot with equal polling for all candidates + pickiness=1 corresponds to bullet voting + pickiness=0.4 seems about optimal under KSModel + """ + expectedUtility = sum(utils) / len(utils) + best = max(utils) + normalizedUtils = [ + (u - expectedUtility) / (best - expectedUtility) for u in utils + ] + return [cls.topRank if u >= pickiness else 0 for u in normalizedUtils] + + @classmethod + def vaBallot( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.15, + info="e", + **kw, + ): + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + return [cls.topRank if u > expectedUtility else 0 for u in utils] + + @classmethod + def vaIntermediateBallot( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.15, + midScoreWillingness=0.7, + info="e", + **kw, + ): + """Uses significant, but not total, strategic exaggeration + >>> Score.vaIntermediateBallot([0,1,2,3,4,5], [.6,.4,.4,.4,.4,.5]) + [0.0, 3.0, 5, 5, 5, 5] + """ + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + if all(u == utils[0] for u in utils[1:]): + return [0] * len(utils) + lowThreshold = max( + min(utils), expectedUtility - midScoreWillingness * std(utils) + ) + highThreshold = min( + max(utils), expectedUtility + midScoreWillingness * std(utils) + ) + # this is wrong. We should use a standard deviation that's weighted + # by each candidate's chance of winning + return cls.interpolatedBallot(utils, lowThreshold, highThreshold) + @classmethod + def diehardBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + if intensity < 1 or utils[candToHelp] <= utils[candToHurt]: + return super().diehardBallot( + utils, intensity, candToHelp, candToHurt, **kw + ) + if intensity == 1: + return cls.interpolatedBallot( + utils, utils[candToHurt], utils[candToHelp] + ) + if intensity == 4: + return cls.bulletBallot(utils) + else: + return [cls.topRank if u >= utils[candToHelp] else 0 for u in utils] + + @classmethod + def compBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + if intensity < 1 or utils[candToHelp] <= utils[candToHurt]: + return super().diehardBallot( + utils, intensity, candToHelp, candToHurt, **kw + ) + if intensity == 1: + return cls.interpolatedBallot( + utils, utils[candToHurt], utils[candToHelp] + ) + else: + return [cls.topRank if u > utils[candToHurt] else 0 for u in utils] + + @classmethod + def bulletBallot(cls, utils, **kw): + best = utils.index(max(utils)) + ballot = [0] * len(utils) + ballot[best] = cls.topRank + return ballot @classmethod - def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult): + def fillStratBallot( + cls, + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ): """Returns a (function which takes utilities and returns a strategic ballot) for the given "polling" info.""" cuts = [voter[frontId], voter[targId]] if stratGap > 0: - #sort cuts high to low + # sort cuts high to low cuts = (cuts[1], cuts[0]) if cuts[0] == cuts[1]: strat = [(cls.topRank if (util >= cuts[0]) else 0) for util in voter] else: - strat = [max(0,min(cls.topRank,floor( - (cls.topRank + .99) * (util-cuts[1]) / (cuts[0]-cuts[1]) - ))) - for util in voter] + strat = [ + max( + 0, + min( + cls.topRank, + floor( + (cls.topRank + 0.99) + * (util - cuts[1]) + / (cuts[0] - cuts[1]) + ), + ), + ) + for util in voter + ] for i in range(n): ballot[i] = strat[i] Score0to.topRank = topRank return Score0to if asClass else Score0to() -def BulletyApprovalWith(bullets=0.5, asClass=False): +class Score(makeScoreMethod(5, True)): + """ + >>> Score.honBallot((0,1,2,3,4,5,6,7,8,9,10,11)) + [0.0, 0.0, 1.0, 1.0, 2.0, 2.0, 3.0, 3.0, 4.0, 4.0, 5.0, 5.0] + >>> Score.vaBallot((0,1,2,3),[.4,.4,.4,.4]) + [0, 0, 5, 5] + >>> Score.vaBallot((0,1,2,3),[.4,.4,.4,.6]) + [0, 0, 0, 5] + >>> Score.vaBallot((0,1,2,3),[.6,.4,.4,.4]) + [0, 5, 5, 5] + """ + + pass + + +class Approval(makeScoreMethod(1, True)): + diehardLevels = [1, 4] + compLevels = [1, 3] + + @classmethod + def zeroInfoBallot( + cls, utils, electabilities=None, polls=None, pickiness=0.4, **kw + ): + """Returns a ballot based on utils and pickiness + pickiness=0 corresponds to vaBallot with equal polling for all candidates + pickiness=1 corresponds to bullet voting + pickiness=0.4 seems about optimal under KSModel + + >>> Approval.zeroInfoBallot([1,2,3,10], pickiness=0) + [0, 0, 0, 1] + >>> Approval.zeroInfoBallot([1,2,3,-10], pickiness=0) + [1, 1, 1, 0] + >>> Approval.zeroInfoBallot([1,2,3,-10], pickiness=0.6) + [0, 1, 1, 0] + """ + expectedUtility = sum(utils) / len(utils) + best = max(utils) + normalizedUtils = [ + (u - expectedUtility) / (best - expectedUtility) for u in utils + ] + return [1 if u >= pickiness else 0 for u in normalizedUtils] + + @classmethod + def honBallot(cls, utils, **kw): + return Approval.zeroInfoBallot(utils, pickiness=0.4) + @classmethod + def diehardBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + """ + >>> Approval.diehardBallot([-10,1,2,3,4,10],1,4,2) + [0, 0, 0, 0, 1, 1] + """ + if intensity == 1: + return super().diehardBallot(utils, 2, candToHelp, candToHurt, **kw) + else: + return super().diehardBallot(utils, intensity, candToHelp, candToHurt, **kw) - class BulletyApproval((Score(1,True))): + @classmethod + def compBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + """ + >>> Approval.compBallot([-10,1,2,3,4,20],1,4,2) + [0, 0, 0, 1, 1, 1] + >>> Approval.compBallot([-10,1,2,3,4,20],0,4,2) + [0, 0, 0, 0, 0, 1] + """ + if intensity == 1: + return super().compBallot(utils, 2, candToHelp, candToHurt, **kw) + elif intensity == 3: + return Plurality.compBallot(utils, 3, candToHelp, candToHurt, **kw) + else: + return super().compBallot(utils, intensity, candToHelp, candToHurt, **kw) + + +class ApprovalTop2(top2(Approval)): + """ + >>> ApprovalTop2.vaBallot([0,1,10],[.5,.5,.2]) + ([0, 0, 1], [0, 1, 2]) + >>> ApprovalTop2.vaBallot([0,1,2,10],[.5,.5,.3,.2]) + ([0, 0, 1, 1], [0, 1, 2, 3]) + """ + + @classmethod + def vaBallot2( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.15, + info="e", + **kw, + ): + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + return [ + 1 + if sum( + (u1 - u2) * p1 * p2 * (1 - p1 - p2) for u2, p2 in zip(utils, winProbs) + ) + > 0 + else 0 + for u1, p1 in zip(utils, winProbs) + ], cls.prefOrder(utils) + + @classmethod + def zeroInfoBallot(cls, utils, **kw): + return super().zeroInfoBallot(utils, **kw), cls.prefOrder(utils) + + @classmethod + def diehardBallot(cls, utils, intensity, candToHelp, candToHurt, **kw): + """ + >>> ApprovalTop2.diehardBallot([0, 8, 9, 10], 4, 2, 1) + ([0, 0, 0, 1], [0, 1, 2, 3]) + >>> ApprovalTop2.diehardBallot([0, 8, 9, 10], 1, 2, 1) + ([0, 0, 1, 1], [0, 1, 2, 3]) + """ + if intensity == 4: + return cls.bulletBallot(utils) + else: + return super().diehardBallot(utils, intensity, candToHelp, candToHurt, **kw) + + +def BulletyApprovalWith(bullets=0.5, asClass=False): + class BulletyApproval((Score(1, True))): bulletiness = bullets def __str__(self): return f"BulletyApproval{str(round(self.bulletiness * 100))}" - - - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, utils): + @classmethod + def honBallot(cls, utils, **kw): """Takes utilities and returns an honest ballot (on 0..10) @@ -256,45 +757,424 @@ def honBallot(cls, utils): if random.random() > cls.bulletiness: return cls.__bases__[0].honBallot(cls, utils) best = max(utils) - return [1 if util==best else 0 for util in utils] - + return [1 if util == best else 0 for util in utils] return BulletyApproval if asClass else BulletyApproval() -def Srv(topRank=10): - """Score Runoff Voting - >>> Srv().resultsFor(DeterministicModel(3)(5,3),Irv().honBallot)["results"] - [0.8, 1.2, 1.21] - >>> Srv().results([[0,1,2]])[2] - 2.0 - >>> Srv().results([[0,1,2],[2,1,0]])[1] - 1.0 - >>> Srv().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) - [0.8888888888888888, 1.2222222222222223, 0.8888888888888888] - >>> Srv().results([[2,1,0]] * 100 + [[1,0,2]] + [[0,2,1]] * 100) - [1.502537313432836, 1.492537313432836, 0.5074626865671642] - >>> Srv().results([[1,2,0]] * 8 + [[2,0,1]] * 6 + [[0,1,2]] * 5) - [1.0526315789473684, 1.105263157894737, 0.8421052631578947] - >>> Srv().results([[0,4,3,1,2]] * 5 + [[1,4,3,2,1]] * 4 + [[2,3,4,0,1]] * 6) - [1.0666666666666667, 3.6, 3.4, 0.8666666666666667, 1.3333333333333333] - """ - - score0to = Score(topRank,True) - - class Srv0to(score0to): +def oldCoefficients( + utils, + electabilities, + pollingUncertainty=0.15, + scoreImportance=0.17, + probFunc=adaptiveTieFor2, +): + """Don't use""" + winProbs = pollsToProbs(electabilities, pollingUncertainty) + runoffCoefficients = [ + [(u1 - u2) * p1 * p2 for u2, p2 in zip(utils, winProbs)] + for u1, p1 in zip(utils, winProbs) + ] + eRunnerUpUtil = sum(u * p for u, p in zip(utils, probFunc(electabilities))) + # scoreCoefficients[i] is how vauable it is for i to have a high score + scoreCoefficients = [ + (u - eRunnerUpUtil) * p * scoreImportance + for u, p in zip(utils, probFunc(electabilities)) + ] + return scoreCoefficients, runoffCoefficients + + +def getCoefficients( + utils, electabilities, pollingUncertainty=0.15, scoreImportance=0.2 +): + """Don't use""" + nCands = len(utils) + winProbs = pollsToProbs(electabilities, pollingUncertainty) + scoreC = [0] * nCands + runoffC = [ + [(u1 - u2) * p1 * p2 for u2, p2 in zip(utils, winProbs)] + for u1, p1 in zip(utils, winProbs) + ] + for winner in range(nCands): + runnerUpProbs = list( + pollsToProbs( + electabilities[:winner] + electabilities[winner + 1 :], + pollingUncertainty, + ) + ) + runnerUpProbs = runnerUpProbs[:winner] + [0] + runnerUpProbs[winner:] + for runnerUp in range(nCands): + if winner == runnerUp: + continue + orderProb = winProbs[winner] * runnerUpProbs[runnerUp] + # minF, maxF = min(winner, runnerUp), max(winner, runnerUp) + # thirdProbs = pollsToProbs( + # electabilities[:minF] + electabilities[minF+1:maxF] + electabilities[maxF+1:], pollingUncertainty) + for third in range(nCands): + if third in [winner, runnerUp]: + continue + upsetProb = pollsToProbs( + [ + electabilities[winner], + (electabilities[runnerUp] + electabilities[third]) / 2, + ], + pollingUncertainty, + )[1] + scoreC[third] += ( + orderProb + * runnerUpProbs[third] + * upsetProb + * (utils[third] - utils[runnerUp]) + * scoreImportance + ) + return scoreC, runoffC + + +def simpleCoefficients( + utils, electabilities, pollingUncertainty=0.3, scoreImportance=0.3 +): + """Gives the score and runoff coefficients for STAR's vaBallot.""" + nCands = len(utils) + winProbs = pollsToProbs(electabilities, pollingUncertainty) + scoreC = [ + sum( + (u1 - u2) + * p1 + * p2 + * (1 - p1 - p2) + * scoreImportance # approximates the probability that 1 and 2 will tie for the second runoff slot and the win in the runoff + for u2, p2 in zip(utils, winProbs) + ) + for u1, p1 in zip(utils, winProbs) + ] + runoffC = [ + [(u1 - u2) * p1 * p2 for u2, p2 in zip(utils, winProbs)] + for u1, p1 in zip(utils, winProbs) + ] + return scoreC, runoffC + + +def makeSTARMethod(topRank=5): + "STAR Voting" + + score0to = makeScoreMethod(topRank, True) + + class STAR0to(score0to): stratTargetFor = Method.stratTarget3 + diehardLevels = [1, 2, 3, 4] + compLevels = [1, 2, 3] - def results(self, ballots, **kwargs): - """Srv results.""" - baseResults = super(Srv0to, self).results(ballots, **kwargs) - (runnerUp,top) = sorted(range(len(baseResults)), key=lambda i: baseResults[i])[-2:] + @classmethod + def results(cls, ballots, **kwargs): + """STAR results. + + >>> STAR().resultsFor(DeterministicModel(3)(5,3),Irv().honBallot)["results"] + [0, 1, 2] + >>> STAR().results([[0,1,2]])[2] + 2 + >>> STAR().results([[0,1,2],[2,1,0]])[1] + 0 + >>> STAR().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) + [2, 0, 1] + """ + baseResults = super(STAR0to, cls).results(ballots, **kwargs) + + (runnerUp, top) = sorted( + range(len(baseResults)), key=lambda i: baseResults[i] + )[-2:] upset = sum(sign(ballot[runnerUp] - ballot[top]) for ballot in ballots) if upset > 0: baseResults[runnerUp] = baseResults[top] + 0.01 return baseResults - return Srv0to() + + @classmethod + def vaBallot( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.3, + scoreImportance=0.3, + info="e", + coeffFunc=simpleCoefficients, + **kw, + ): + """ + >>> STAR.vaBallot([0,1,2,3,4,5],[.5,.5,.5,.5,.5,.5],scoreImportance=0.1) + [0.0, 1.0, 2.0, 3.0, 4.0, 5.0] + >>> STAR.vaBallot([0,1,2,3,4,5],[.5,.5,.5,.5,.5,.5],scoreImportance=0.2) + [0.0, 0.0, 1.0, 4.0, 5.0, 5.0] + >>> STAR.vaBallot([0,1,2,3,4,5],[.5,.5,.5,.5,.5,.5],scoreImportance=3) + [0.0, 0.0, 0.0, 5.0, 5.0, 5.0] + >>> STAR.vaBallot([0,1,2,3,4,5],[.6,.5,.5,.5,.5,.5],scoreImportance=0.2) + [0.0, 1.0, 2.0, 5.0, 5.0, 5.0] + """ + if info == "p": + electabilities = polls + # if not winProbs: + # winProbs = pollsToProbs(electabilities, pollingUncertainty) + # runoffCoefficients[i][j] is how valuable it is to score i over j + # scoreCoefficients[i] is how vauable it is for i to have a high score + scoreCoefficients, runoffCoefficients = coeffFunc( + utils, electabilities, pollingUncertainty, scoreImportance + ) + + # create a tentative ballot + numCands = len(utils) + bot = min(utils) + scale = max(utils) - bot + ballot = [ + floor((cls.topRank + 0.99) * (util - bot) / scale) for util in utils + ] + + # optimize the ballot + improvementFound = True + while improvementFound: + improvementFound = False + for cand in range(numCands): + # Should cand be scored higher? + if ballot[cand] < cls.topRank and sum( + runoffCoefficients[cand][j] * sign(ballot[cand] + 1 - ballot[j]) + for j in range(numCands) + ) + scoreCoefficients[cand] > sum( + runoffCoefficients[cand][j] * sign(ballot[cand] - ballot[j]) + for j in range(numCands) + ): + ballot[cand] += 1 + improvementFound = True + # Should cand be scored lower? + elif ballot[cand] > 0 and sum( + runoffCoefficients[cand][j] * sign(ballot[cand] - 1 - ballot[j]) + for j in range(numCands) + ) - scoreCoefficients[cand] > sum( + runoffCoefficients[cand][j] * sign(ballot[cand] - ballot[j]) + for j in range(numCands) + ): + ballot[cand] -= 1 + improvementFound = True + return ballot + + @classmethod + def compBallot( + cls, utils, intensity, candToHelp, candToHurt, baseBallotFunc=None, **kw + ): + """Intensity determines the strategy used. 0 naive, 1 is honest, 2 semi-honest, 3 is favorite betrayal + >>> STAR.compBallot([0,1,2,3,4,5,6,7],0,5,3) + [0.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 5.0] + >>> STAR.compBallot([0,1,2,3,4,5,6,7],1,5,3) + [0, 0, 0, 0, 3.0, 4, 5.0, 5.0] + >>> STAR.compBallot([0,1,2,3,4,5,6,7],2,5,3) + [0, 0, 0, 0, 3.0, 5, 5, 5] + >>> STAR.compBallot([0,1,2,3,4,5,6,7],3,5,3) + [0, 0, 0, 0, 1, 5, 1, 1] + """ + if baseBallotFunc is None: + baseBallotFunc = cls.honBallot + baseBallot = baseBallotFunc( + utils, candToHelp=candToHelp, candToHurt=candToHurt, **kw + ) + helpUtil, hurtUtil = utils[candToHelp], utils[candToHurt] + if intensity < 1 or helpUtil <= hurtUtil: + return baseBallot + if intensity == 1: + for i, u in enumerate(utils): + if u >= helpUtil: + baseBallot[i] = cls.topRank + elif u > hurtUtil: + baseBallot[i] = cls.topRank - 1 # max(, baseBallot[i]) + elif u == hurtUtil: + baseBallot[i] = min(1, baseBallot[i]) + elif u < hurtUtil: + baseBallot[i] = 0 + if intensity == 2: + for i, u in enumerate(utils): + baseBallot[i] = cls.topRank if u > hurtUtil else 0 + if intensity >= 3: + baseBallot = [1 if u > hurtUtil else 0 for u in utils] + baseBallot[candToHelp] = cls.topRank + return baseBallot + + @classmethod + def diehardBallot( + cls, + utils, + intensity, + candToHelp, + candToHurt, + electabilities=None, + polls=None, + baseBallotFunc=None, + info="p", + **kw, + ): + """Intensity determines the strategy used. 0 naive, 1 is honest, 2 semi-honest, 3 is pushover, + and 4 is bullet voting + >>> STAR.diehardBallot([0,1,2,3,4,5,6,7],1,5,3) + [0.0, 0.0, 1, 1, 3.0, 5, 5, 5] + >>> STAR.diehardBallot([0,1,2,3,4,5,6,7],2,5,3) + [0, 0, 0, 0, 3.0, 5, 5, 5] + >>> STAR.diehardBallot([0,1,2,3,4,5,6,7],3,5,3,polls=[.4,.6,.4,.6,.4,.5,.4,.6]) + [4, 0, 4, 0, 4, 5, 5, 5] + >>> STAR.diehardBallot([0,1,2,3,4,5,6,7],4,5,3) + [0, 0, 0, 0, 0, 0, 0, 5] + """ + if info == "e": + polls = electabilities + if baseBallotFunc is None: + baseBallotFunc = cls.honBallot + baseBallot = baseBallotFunc( + utils, polls=polls, candToHelp=candToHelp, candToHurt=candToHurt, **kw + ) + helpUtil, hurtUtil = utils[candToHelp], utils[candToHurt] + if intensity < 1 or helpUtil <= hurtUtil: + return baseBallot + if intensity == 1: + for i, u in enumerate(utils): + if u <= hurtUtil: + baseBallot[i] = 0 + elif u < helpUtil: + baseBallot[i] = 1 + elif u == helpUtil: + baseBallot[i] = max(cls.topRank - 1, baseBallot[i]) + elif u > helpUtil: + baseBallot[i] = cls.topRank + if intensity == 2: + for i, u in enumerate(utils): + baseBallot[i] = 0 if u < helpUtil else cls.topRank + if intensity == 3: + for i, u in enumerate(utils): + if u >= helpUtil: + baseBallot[i] = cls.topRank + elif polls[i] < polls[candToHelp]: + baseBallot[i] = cls.topRank - 1 + else: + baseBallot[i] = 0 + baseBallot[candToHurt] = 0 + return cls.bulletBallot(utils) if intensity == 4 else baseBallot + + @classmethod + def always510Ballot(cls, utils, **kw): + """Gives the first choice candidate a 5, second choice a 1, and last choice a 0. + Only really intended for three-candidate elections. + >>> STAR.always510Ballot([9,5,10]) + [1, 0, 5] + """ + return [ + cls.topRank if u == max(utils) else 0 if u == min(utils) else 1 + for u in utils + ] + + @classmethod + def never23Ballot(cls, utils, **kw): + """Gives the first choice a 5, last a 0, and everyone else 1 or 4 + >>> STAR.never23Ballot([0,2,3,5]) + [0, 1, 4, 5] + """ + high, low = max(utils), min(utils) + ballot = [] + for u in utils: + if u == high: + ballot.append(cls.topRank) + elif u == low: + ballot.append(0) + elif high - u < u - low: + ballot.append(cls.topRank - 1) + else: + ballot.append(1) + return ballot + + @classmethod + def utilGapBallot(cls, utils, **kw): + """With six or fewer candidates, gives each candidate a different score. + With five or fewer candidates, there is only one gap between scores + and it occurs where there is the greatest gap in utilities. + With seven or more candidates, the canddiates with the most similar + utilities are given the same scores. + Does not work well when some utilities are equal. + >>> STAR.utilGapBallot([0,6,5,7]) + [0, 4, 3, 5] + >>> STAR.utilGapBallot([0,6,5,2]) + [0, 5, 4, 1] + >>> STAR.utilGapBallot([0,1,2]) + [0, 1, 5] + >>> STAR.utilGapBallot([0,1,2,3,4,10,11,13]) + [0, 0, 1, 1, 2, 3, 4, 5] + """ + sortedUtils = sorted(enumerate(utils), key=lambda x: x[1]) + high, low = max(utils), min(utils) + n = len(utils) + ballot = [0] * n + if n <= cls.topRank + 1: + maxGap = 0 + gapLoc = None + for i in range(n - 1): + if sortedUtils[i + 1][1] - sortedUtils[i][1] >= maxGap: + maxGap = sortedUtils[i + 1][1] - sortedUtils[i][1] + gapLoc = (sortedUtils[i + 1][1] + sortedUtils[i][1]) / 2 + for rank, (cand, util) in enumerate(sortedUtils): + ballot[cand] = rank if util < gapLoc else rank + cls.topRank + 1 - n + else: + utilRanges = [[u, u] for u in sorted(utils)] + # use a greedy algorithm to put most similar utilities together + while len(utilRanges) > cls.topRank + 1: + minSpread = float("inf") + minLoc = None + for i in range(len(utilRanges) - 1): + spread = utilRanges[i + 1][1] - utilRanges[i][0] + if spread < minSpread: + minSpread = spread + minLoc = i + utilRanges[minLoc][1] = utilRanges[minLoc + 1][1] + del utilRanges[minLoc + 1] + score = 0 + for cand, util in sortedUtils: + if util > utilRanges[score][1]: + score += 1 + ballot[cand] = score + return ballot + + @classmethod + def top6Ballot(cls, utils, electabilities=None, polls=None, info="e", **kw): + """Gives each of the six most viable candidates a different score + and other candidates the score of the frontrunner their utility is the closest to. + >>> STAR.top6Ballot([0,1,2,3,4,5,6,7,8,9,20], [.3,.4,.35,.41,.42,.43,.2,.3,.415,.41,.1]) + [0, 0, 0, 1, 2, 3, 3, 4, 4, 5, 5] + """ + if len(utils) <= cls.topRank: + return cls.utilGapBallot(utils) + if info == "e": + polls = electabilities + frontrunnerIDs = sorted(enumerate(polls), key=lambda x: -x[1])[ + : cls.topRank + 1 + ] + frontUtils = sorted(utils[i] for i, _ in frontrunnerIDs) + ballot = [] + for u in utils: + if u >= frontUtils[cls.topRank]: + ballot.append(cls.topRank) + else: + i = 0 + while u > frontUtils[i + 1]: + i += 1 + if u - frontUtils[i] <= frontUtils[i + 1] - u: + ballot.append(i) + else: + ballot.append(i + 1) + return ballot + + # @classmethod + # def defaultfgs(cls): + # return super().defaultfgs()\ + # + [(cls.top6Ballot, targs) for targs in [selectRand, select21]] + + STAR0to.__name__ = "STAR" if topRank == 5 else f"STAR{str(topRank)}" + return STAR0to + + +class STAR(makeSTARMethod(5)): + pass def toVote(cutoffs, util): @@ -308,26 +1188,24 @@ def toVote(cutoffs, util): class Mav(Method): - """Majority Approval Voting - """ - - - #>>> mqs = [Mav().resultsFor(PolyaModel()(101,5),Mav.honBallot)[0] for i in range(400)] - #>>> mean(mqs) - #1.5360519801980208 - #>>> mqs += [Mav().resultsFor(PolyaModel()(101,5),Mav.honBallot)[0] for i in range(1200)] - #>>> mean(mqs) - #1.5343069306930679 - #>>> std(mqs) - #1.0970202515275356 + """Majority Approval Voting""" + + # >>> mqs = [Mav().resultsFor(PolyaModel()(101,5),Mav.honBallot)[0] for i in range(400)] + # >>> mean(mqs) + # 1.5360519801980208 + # >>> mqs += [Mav().resultsFor(PolyaModel()(101,5),Mav.honBallot)[0] for i in range(1200)] + # >>> mean(mqs) + # 1.5343069306930679 + # >>> std(mqs) + # 1.0970202515275356 bias5 = 1.0970202515275356 - baseCuts = [-0.8, 0, 0.8, 1.6] specificCuts = None - specificPercentiles = [25,50,75,90] + specificPercentiles = [25, 50, 75, 90] - def candScore(self, scores): + @classmethod + def candScore(cls, scores): """For now, only works correctly for odd nvot Basic tests @@ -343,40 +1221,105 @@ def candScore(self, scores): 1.5 >>> Mav().candScore([1,2,3,3,5]) 2.7 - """ + """ scores = sorted(scores) nvot = len(scores) - nGrades = (len(self.baseCuts) + 1) + nGrades = len(cls.baseCuts) + 1 i = int((nvot - 1) / 2) base = scores[i] while i < nvot and base == base: i += 1 - upper = (base + 0.5) - (i - nvot/2) * nGrades / nvot - lower = (base) - (i - nvot/2) / nvot + upper = (base + 0.5) - (i - nvot / 2) * nGrades / nvot + lower = (base) - (i - nvot / 2) / nvot return max(upper, lower) @classmethod def honBallotFor(cls, voters): - cls.specificCuts = percentile(voters,cls.specificPercentiles) + cls.specificCuts = percentile(voters, cls.specificPercentiles) return cls.honBallot - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, voter): + @classmethod + def honBallot(cls, voter, **kw): """Takes utilities and returns an honest ballot (on 0..4) honest ballot works as intended, gives highest grade to highest utility: - >>> Mav().honBallot(Mav, Voter([-1,-0.5,0.5,1,1.1])) + >>> Mav.honBallot(Voter([-1,-0.5,0.5,1,1.1])) [0, 1, 2, 3, 4] Even if they don't rate at least an honest "B": - >>> Mav().honBallot(Mav, Voter([-1,-0.5,0.5])) + >>> Mav.honBallot(Voter([-1,-0.5,0.5])) [0, 1, 4] """ cuts = cls.specificCuts if (cls.specificCuts is not None) else cls.baseCuts cuts = [min(cut, max(voter) - 0.001) for cut in cuts] return [toVote(cuts, util) for util in voter] + @classmethod + def vaBallot( + cls, + utils, + electabilities=None, + polls=None, + winProbs=None, + pollingUncertainty=0.15, + info="e", + **kw, + ): + """Acts like the VA approval strat in deciding whether to give a candidate + ANY support, but those that are supported are scored in accordance with their utilities + + >>> Mav.vaBallot([0,1,2,3],[.4,.4,.4,.4]) + [0, 0, 1.0, 4.0] + >>> Mav.vaBallot([0,1,2,3],[.6,.4,.4,.4]) + [0, 1.0, 3.0, 4.0] + >>> Mav.vaBallot([0,1,2,3],[.4,.4,.4,.5]) + [0, 0, 0, 4.0] + """ + if info == "p": + electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + scale = max(utils) - expectedUtility + return [ + 0 + if expectedUtility > util + else floor((4 + 0.99) * (util - expectedUtility) / scale) + for util in utils + ] + + @classmethod + def stratBallot(cls, voter, polls, electabilities=None, info="p", **kw): + if info == "e": + polls = electabilities + places = sorted(enumerate(polls), key=lambda x: -x[1]) + ((frontId, frontResult), (targId, targResult)) = places[:2] + frontUtils = [voter[frontId], voter[targId]] # utils of frontrunners + stratGap = frontUtils[1] - frontUtils[0] + if stratGap == 0: + return [(4 if (util >= frontUtils[0]) else 0) for util in voter] + + if stratGap < 0: + return cls.honBallot(voter) + # runner-up is preferred; be strategic in iss run + # sort cuts high to low + frontUtils = (frontUtils[1], frontUtils[0]) + top = max(voter) + # print("lll312") + # print(self.baseCuts, front) + cutoffs = [ + ( + (min(frontUtils[0], cls.baseCuts[i])) + if (i < floor(targResult)) + else ( + (frontUtils[1]) + if (i < floor(frontResult) + 1) + else min(top, cls.baseCuts[i]) + ) + ) + for i in range(len(cls.baseCuts)) + ] + return [toVote(cutoffs, util) for util in voter] def stratBallotFor(self, polls): """Returns a function which takes utilities and returns a dict( @@ -406,45 +1349,62 @@ def stratBallotFor(self, polls): >>> Mav().stratBallotFor([2.1,0,3])(Mav, Voter([6,5,6.1])) [2, 2, 4] """ - places = sorted(enumerate(polls),key=lambda x:-x[1]) #from high to low - #print("places",places) - ((frontId,frontResult), (targId, targResult)) = places[:2] + places = sorted(enumerate(polls), key=lambda x: -x[1]) # from high to low + # print("places",places) + ((frontId, frontResult), (targId, targResult)) = places[:2] @rememberBallots def stratBallot(cls, voter): - frontUtils = [voter[frontId], voter[targId]] #utils of frontrunners + frontUtils = [voter[frontId], voter[targId]] # utils of frontrunners stratGap = frontUtils[1] - frontUtils[0] - if stratGap is 0: - strat = extraStrat = [(4 if (util >= frontUtils[0]) else 0) - for util in voter] + if stratGap == 0: + strat = extraStrat = [ + (4 if (util >= frontUtils[0]) else 0) for util in voter + ] isStrat = True else: if stratGap < 0: - #winner is preferred; be complacent. + # winner is preferred; be complacent. isStrat = False else: - #runner-up is preferred; be strategic in iss run + # runner-up is preferred; be strategic in iss run isStrat = True - #sort cuts high to low + # sort cuts high to low frontUtils = (frontUtils[1], frontUtils[0]) top = max(voter) - #print("lll312") - #print(self.baseCuts, front) - cutoffs = [( (min(frontUtils[0], self.baseCuts[i])) - if (i < floor(targResult)) else - ( (frontUtils[1]) - if (i < floor(frontResult) + 1) else - min(top, self.baseCuts[i]) - )) - for i in range(len(self.baseCuts))] + # print("lll312") + # print(self.baseCuts, front) + cutoffs = [ + ( + (min(frontUtils[0], self.baseCuts[i])) + if (i < floor(targResult)) + else ( + (frontUtils[1]) + if (i < floor(frontResult) + 1) + else min(top, self.baseCuts[i]) + ) + ) + for i in range(len(self.baseCuts)) + ] strat = [toVote(cutoffs, util) for util in voter] - extraStrat = [max(0,min(10,floor( - 4.99 * (util-frontUtils[1]) / (frontUtils[0]-frontUtils[1]) - ))) - for util in voter] - return dict(strat=strat, extraStrat=extraStrat, isStrat=isStrat, - stratGap = stratGap) + extraStrat = [ + max( + 0, + min( + 10, + floor( + 4.99 + * (util - frontUtils[1]) + / (frontUtils[0] - frontUtils[1]) + ), + ), + ) + for util in voter + ] + return dict( + strat=strat, extraStrat=extraStrat, isStrat=isStrat, stratGap=stratGap + ) return stratBallot @@ -475,24 +1435,25 @@ def candScore(self, scores): 3.02 >>> Mj().candScore([3] * 13 + [4] * 12) 3.46 - """ + """ scores = sorted(scores) nvot = len(scores) lo = hi = mid = nvot // 2 base = scores[mid] - while (hi < nvot and scores[hi] == base): + while hi < nvot and scores[hi] == base: hi += 1 - while (lo >= 0 and scores[lo] == base): + while lo >= 0 and scores[lo] == base: lo -= 1 - if (hi-mid) == (mid-lo): + if (hi - mid) == (mid - lo): return base - elif (hi-mid) < (mid-lo): - return base + 0.5 - (hi-mid) / nvot + elif (hi - mid) < (mid - lo): + return base + 0.5 - (hi - mid) / nvot else: - return base - 0.5 + (mid-lo) / nvot + return base - 0.5 + (mid - lo) / nvot -class Irv(Method): + +class IRV(Method): """ IRV. @@ -500,6 +1461,18 @@ class Irv(Method): """ stratTargetFor = Method.stratTarget3 + compLevels = [3] + diehardLevels = [3] + + def candidateVotes(self, prefSchedule): + """Gets a list of CandidateWithCount, from highest to lowest""" + candidates = {} + for ranking, votes in prefSchedule.items(): + candidate = ranking[0] + if candidate in candidates: + candidates[candidate].votes += votes + else: + candidates[candidate] = CandidateWithCount(candidate, votes) def buildPreferenceSchedule(self, ballots): """Gets a dictionary of the form {ranking as tuple, vote count}""" @@ -513,36 +1486,15 @@ def buildPreferenceSchedule(self, ballots): prefs[key] = 1 return prefs - def eliminateCandidate(self, inputPrefs, toEliminate): - """Gets a dictionary of the form {ranking as tuple, vote count} with toEliminate removed""" - - if not isinstance(toEliminate, CandidateWithCount): - return inputPrefs - - prefs = {} - for ranking, votes in inputPrefs.items(): - newranking = [ - candidate - for candidate in ranking - if candidate != toEliminate.candidate - ] + @classmethod + def oldResort(cls, ballots, loser, ncand, piles): + """No error checking; only works for exhaustive ratings.""" + # print("resort",ballots, loser, ncand) + # print(piles) + for _ in ballots: + if loser < 0: + nextrank = ncand - 1 - if not newranking: - continue - newkey = tuple(newranking) - if newkey in prefs: - prefs[newkey] += votes - else: - prefs[newkey] = votes - return prefs - - def candidateVotes(self, prefSchedule): - """Gets a list of CandidateWithCount, from highest to lowest""" - candidates = {} - for ranking, votes in prefSchedule.items(): - candidate = ranking[0] - if candidate in candidates: - candidates[candidate].votes += votes else: candidates[candidate] = CandidateWithCount(candidate, votes) @@ -556,9 +1508,16 @@ def candidateVotes(self, prefSchedule): alternates.append(CandidateWithCount(alternate, 0)) trackedalt.add(alternate) - return sorted(candidates.values(), key=lambda c: (c.votes, c.candidate), reverse = True) + alternates + return ( + sorted( + candidates.values(), key=lambda c: (c.votes, c.candidate), reverse=True + ) + + alternates + ) - def getLeast(self, voteRanking, keep = {}): + def getLeast(self, voteRanking, keep=None): + if keep is None: + keep = {} for candidate in reversed(voteRanking): if candidate.candidate not in keep: return candidate @@ -573,55 +1532,176 @@ def runIrv(self, remaining, ncand): remaining = self.eliminateCandidate(remaining, toEliminate) return results - def results(self, ballots, **kwargs): + @classmethod + def resort(cls, ballotsToSort, candsLeft, piles): + for b in ballotsToSort: + vote, bestRank = None, 0 + for c in candsLeft: + if b[c] > bestRank: + vote, bestRank = c, b[c] + if vote is not None: + piles[vote].append(b) + + @classmethod + def results(cls, ballots): + """ + >>> Irv.resultsFor(DeterministicModel(3)(5,3)) + [0.2, 0.4, 0.6] + >>> Irv.results([[0,1,2]]) + [0.0, 0.0, 1.0] + >>> Irv.results([[0,1,2]]*4+[[0,2,1]]*4+[[0,0,0]]*2) + [0.0, 0.4, 0.4] + """ + if type(ballots) is not list: + ballots = list(ballots) + ncand = len(ballots[0]) + nbal = len(ballots) + piles = [[] for _ in range(ncand)] + candsLeft = set(range(ncand)) + ballotsToSort = ballots + eliminations = [] # (candidateIndex, defeatMargin) tuples + while len(candsLeft) > 1: + cls.resort(ballotsToSort, candsLeft, piles) + loser, loserVotes, defeatMargin = 0, float("inf"), float("inf") + for cand in candsLeft: # determine who gets eliminated + if len(piles[cand]) < loserVotes: + loser = cand + defeatMargin = loserVotes - len(piles[cand]) + loserVotes = len(piles[cand]) + elif len(piles[cand]) - loserVotes < defeatMargin: + defeatMargin = len(piles[cand]) - loserVotes + candsLeft.remove(loser) + ballotsToSort = piles[loser] + eliminations.append((loser, defeatMargin)) + + winner = candsLeft.pop() + voteCount = len(piles[winner]) + results = [0] * ncand + results[winner] = voteCount / nbal + for loser, margin in reversed(eliminations): + voteCount = max(0, voteCount - margin) + results[loser] = voteCount / nbal + return results + + @classmethod + def oldResults(cls, ballots, **kwargs): """IRV results. - >>> Irv().resultsFor(DeterministicModel(3)(5,3),Irv().honBallot)["results"] + >>> #Irv.resultsFor(DeterministicModel(3)(5,3)) [0, 1, 2] - >>> Irv().results([[0,1,2]])[2] + >>> #Irv.results([[0,1,2]])[2] 2 - >>> Irv().results([[0,1,2],[2,1,0]])[1] + >>> #Irv.results([[0,1,2],[2,1,0]])[1] 0 - >>> Irv().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) + >>> #Irv.results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) [2, 0, 1] """ if type(ballots) is not list: ballots = list(ballots) - return self.runIrv(self.buildPreferenceSchedule(ballots), len(ballots[0])) + return cls.runIrv(cls.buildPreferenceSchedule(ballots), len(ballots[0])) - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, voter): + @classmethod + def honBallot(cls, voter, **kw): """Takes utilities and returns an honest ballot - >>> Irv.honBallot(Irv,Voter([4,1,6,3])) + >>> Irv.honBallot(Voter([4,1,6,3])) [2, 0, 3, 1] """ ballot = [-1] * len(voter) - order = sorted(enumerate(voter), key=lambda x:x[1]) + order = sorted(enumerate(voter), key=lambda x: x[1]) for i, cand in enumerate(order): ballot[cand[0]] = i - #print("hballot",ballot) + # print("hballot",ballot) return ballot + @classmethod + def vaBallot( + cls, + utils, + electabilities, + polls=None, + pollingUncertainty=0.15, + winProbs=None, + info="e", + **kw, + ): + """Ranks good electable candidates over great unelectable candidates + Electabilities are interpreted as a metric for the ability to win in the final round. + + >>> Irv.vaBallot([0,1,2,3],[.4,.5,.5,.4]) + [0, 1, 3, 2] + >>> Irv.vaBallot([0,1,2,10],[.4,.5,.5,.4]) + [0, 1, 2, 3] + >>> Irv.vaBallot([0,1,2,10],[.6,.5,.4,.38]) + [0, 3, 1, 2] + """ + # if info == 'p': commented out because this can't handle IRV polls + # electabilities = polls + if not winProbs: + winProbs = pollsToProbs(electabilities, pollingUncertainty) + expectedUtility = sum(u * p for u, p in zip(utils, winProbs)) + scores = [(u - expectedUtility) * p for u, p in zip(utils, winProbs)] + goodCandidates = sorted( + (x for x in enumerate(scores) if x[1] > 0), key=lambda x: x[1] + ) + badCandidates = sorted( + [(i, utils[i]) for i in range(len(utils)) if scores[i] <= 0], + key=lambda x: x[1], + ) # from worst to best utility + order = badCandidates + goodCandidates + ballot = [-1] * len(utils) + for i in range(len(utils)): + ballot[order[i][0]] = i + return ballot @classmethod - def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult): + def compBallot(cls, utils, intensity, candToHelp, candToHurt=None, **kw): + """Rank candToHelp first, then vote honestly + >>> Irv.compBallot([0,1,2,10],3,1,0) + [0, 3, 1, 2] """ - >>> Irv().stratBallotFor([3,2,1,0])(Irv,Voter([3,6,5,2])) + ballot = cls.honBallot(utils) + if intensity < 3: + return ballot + helpRank = ballot[candToHelp] + for cand, rank in enumerate(ballot): + if rank > helpRank: + ballot[cand] -= 1 + ballot[candToHelp] = len(utils) - 1 + return ballot + + @classmethod + def diehardBallot(cls, *args, **kw): + return Minimax.diehardBallot(*args, **kw) + + @classmethod + def fillStratBallot( + cls, + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ): + """ + >>> Irv.stratBallot(Voter([3,6,5,2]),[3,2,1,0]) [1, 2, 3, 0] """ i = n - 1 winnerQ = voter[frontId] targQ = voter[targId] - placesToFill = list(range(n-1,0,-1)) + placesToFill = list(range(n - 1, 0, -1)) if targQ > winnerQ: ballot[targId] = i i -= 1 del placesToFill[-2] for j in placesToFill: - nextLoser, loserScore = places[j] #all but winner, low to high + nextLoser, loserScore = places[j] # all but winner, low to high if voter[nextLoser] > winnerQ: ballot[nextLoser] = i i -= 1 @@ -632,164 +1712,227 @@ def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, if voter[nextLoser] <= winnerQ: ballot[nextLoser] = i i -= 1 - #assert list(range(n)) == sorted(ballot) + # assert list(range(n)) == sorted(ballot) assert i == -1 - -class IrvPrime(Irv): - """ - IRV Prime. - - See https://electowiki.org/wiki/IRV_Prime - """ - stratTargetFor = Method.stratTarget3 - - def results(self, ballots, **kwargs): - """IRV Prime results. - - >>> IrvPrime().results([[0,1,2]])[2] - 2 - >>> IrvPrime().results([[0,1,2],[2,1,0]])[1] - 0 - >>> IrvPrime().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) - [1, 2, 0] - >>> IrvPrime().results([[2,1,0]] * 100 + [[1,0,2]] + [[0,2,1]] * 100) - [1, 0, 2] - >>> # Favorite betrayal example from http://rangevoting.org/IncentToExagg.html - >>> IrvPrime().results([[1,2,0]] * 8 + [[2,0,1]] * 6 + [[0,1,2]] * 5) - [0, 1, 2] - >>> IrvPrime().results([[0,4,3,1,2]] * 5 + [[1,4,3,2,1]] * 4 + [[2,3,4,0,1]] * 6) - [4, 2, 3, 0, 1] - >>> # Elections 3-5 from http://votingmatters.org.uk/ISSUE6/P4.HTM - >>> IrvPrime().results([[0,1,2,3,4,5]] * 12 + [[2,0,1,3,4,5]] * 11 + [[1,2,0,3,4,5]] * 10 + - ... [[3,4,5]] * 27) - [1, 2, 3, 0, 4, 5] - >>> IrvPrime().results([[0,1]] * 11 + [[1]] * 7 + [[2]] * 12) - [1, 2, 0] - >>> IrvPrime().results([[0,3,2,1]] * 5 + [[1,2,0,3]] * 5 + [[2,0,1,3]] * 8 + - ... [[3,0,1,2]] * 4 + [[3,1,2,0]] * 8) - [0, 3, 2, 1] - >>> IrvPrime().results([[0,2,1,3]] * 6 + [[0,3,1,2]] * 3 + [[0,3,2,1]] * 3 + - ... [[1,2,0,3]] * 4 + [[2,0,1,3]] * 4 + [[3,1,2,0]] * 5) - [2, 0, 3, 1] - >>> # Failure of later-no-harm - >>> IrvPrime().results([[0, 1, 2]] * 32 + [[0, 2, 1]] * 20 + [[1,2,0]] * 30 + - ... [[1,0,2]] * 21 + [[2,0,1]] * 30 + [[2,1,0]] * 20) - [2, 0, 1] - >>> IrvPrime().results([[0, 1, 2]] * 32 + [[0, 2, 1]] * 20 + [[1,2,0]] * 30 + - ... [[1,0,2]] * 21 + [[2,1,0]] * 30 + [[2,1,0]] * 20) - [1, 0, 2] + @classmethod + def focusThirdBallot(cls, utils, polls, **kw): + """Ranks the third-place candidate first if they're preferred to the first-place candidate, + otherwise votes honestly + >>> IRV.focusThirdBallot([1,2,3,4,5], [.5,.3,.2,.1,.4]) + [0, 4, 1, 2, 3] """ + numCands = len(utils) + pollTuples = zip(range(numCands), polls) + pollOrder = [ + t[0] for t in sorted(pollTuples, key=lambda x: -x[1]) + ] # first to last + + thirdPlace = pollOrder[2] + prefThird = utils[thirdPlace] > utils[pollOrder[0]] + + prefOrder = [ + cand + for cand, util in sorted(zip(range(numCands), utils), key=lambda x: x[1]) + if not prefThird or cand != thirdPlace + ] # worst to best + ballot = [0] * numCands + if prefThird: + ballot[thirdPlace] = numCands - 1 + for place, cand in enumerate(prefOrder): + ballot[cand] = place + return ballot - if type(ballots) is not list: - ballots = list(ballots) - - remaining = self.buildPreferenceSchedule(ballots) - ncand = len(self.candidateVotes(remaining)) - classic = self.runIrv(remaining, ncand) - - # Keep the winner from the classic IRV - winners = {classic[0]} - # Find all candidates that can beat classic IRV winner; this may be a superset - # of schwartz/smith, but it's all that matters - winnersPrime = set() - for possibleWinner in range(ncand): - if possibleWinner in winners: - continue +Irv = IRV + +# class IrvPrime(Irv): +# """ +# IRV Prime. + +# See https://electowiki.org/wiki/IRV_Prime +# """ + +# stratTargetFor = Method.stratTarget3 + +# def results(self, ballots, **kwargs): +# """IRV Prime results. + +# >>> IrvPrime().results([[0,1,2]])[2] +# 2 +# >>> IrvPrime().results([[0,1,2],[2,1,0]])[1] +# 0 +# >>> IrvPrime().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) +# [1, 2, 0] +# >>> IrvPrime().results([[2,1,0]] * 100 + [[1,0,2]] + [[0,2,1]] * 100) +# [1, 0, 2] +# >>> # Favorite betrayal example from http://rangevoting.org/IncentToExagg.html +# >>> IrvPrime().results([[1,2,0]] * 8 + [[2,0,1]] * 6 + [[0,1,2]] * 5) +# [0, 1, 2] +# >>> IrvPrime().results([[0,4,3,1,2]] * 5 + [[1,4,3,2,1]] * 4 + [[2,3,4,0,1]] * 6) +# [4, 2, 3, 0, 1] +# >>> # Elections 3-5 from http://votingmatters.org.uk/ISSUE6/P4.HTM +# >>> IrvPrime().results([[0,1,2,3,4,5]] * 12 + [[2,0,1,3,4,5]] * 11 + [[1,2,0,3,4,5]] * 10 + +# ... [[3,4,5]] * 27) +# [1, 2, 3, 0, 4, 5] +# >>> IrvPrime().results([[0,1]] * 11 + [[1]] * 7 + [[2]] * 12) +# [1, 2, 0] +# >>> IrvPrime().results([[0,3,2,1]] * 5 + [[1,2,0,3]] * 5 + [[2,0,1,3]] * 8 + +# ... [[3,0,1,2]] * 4 + [[3,1,2,0]] * 8) +# [0, 3, 2, 1] +# >>> IrvPrime().results([[0,2,1,3]] * 6 + [[0,3,1,2]] * 3 + [[0,3,2,1]] * 3 + +# ... [[1,2,0,3]] * 4 + [[2,0,1,3]] * 4 + [[3,1,2,0]] * 5) +# [2, 0, 3, 1] +# >>> # Failure of later-no-harm +# >>> IrvPrime().results([[0, 1, 2]] * 32 + [[0, 2, 1]] * 20 + [[1,2,0]] * 30 + +# ... [[1,0,2]] * 21 + [[2,0,1]] * 30 + [[2,1,0]] * 20) +# [2, 0, 1] +# >>> IrvPrime().results([[0, 1, 2]] * 32 + [[0, 2, 1]] * 20 + [[1,2,0]] * 30 + +# ... [[1,0,2]] * 21 + [[2,1,0]] * 30 + [[2,1,0]] * 20) +# [1, 0, 2] +# """ + +# if type(ballots) is not list: +# ballots = list(ballots) + +# remaining = self.buildPreferenceSchedule(ballots) +# ncand = len(self.candidateVotes(remaining)) +# classic = self.runIrv(remaining, ncand) + +# # Keep the winner from the classic IRV +# winners = {classic[0]} + +# # Find all candidates that can beat classic IRV winner; this may be a superset +# # of schwartz/smith, but it's all that matters +# winnersPrime = set() +# for possibleWinner in range(ncand): +# if possibleWinner in winners: +# continue + +# numWins = 0 +# numLosses = 0 +# for ranking, votes in remaining.items(): +# possibleWinnerRanking = winnerRanking = len(ranking) + 1 +# for pos in range(len(ranking)): +# if ranking[pos] == possibleWinner: +# possibleWinnerRanking = pos +# # We can change this to a loop if there's > 1 winner +# elif ranking[pos] == next(iter(winners)): +# winnerRanking = pos +# if possibleWinnerRanking < winnerRanking: +# numWins += votes +# elif winnerRanking < possibleWinnerRanking: +# numLosses += votes +# if numWins > numLosses: +# winnersPrime.add(possibleWinner) + +# # Now re-run IRV preserving all winners + winners prime +# keepers = winners.union(winnersPrime) +# results = [-1] * ncand +# for i in range(ncand): +# votes = self.candidateVotes(remaining) +# toEliminate = self.getLeast(votes, keepers) +# if not isinstance(toEliminate, CandidateWithCount): +# # Begin "step 4", i.e. continue elimination without preserving anyone +# keepers = {} +# toEliminate = self.getLeast(votes) +# results[ncand - i - 1] = toEliminate.candidate +# remaining = self.eliminateCandidate(remaining, toEliminate) + +# return results + +# @classmethod +# def firstOrThirdBallot(cls, utils, polls, **kw): +# """Ranks either the first-place or third-place candidate first, the rest honestly +# >>> IrvPrime.firstOrThirdBallot([1,2,3,4,5], [.5,.3,.2,.1,.4]) +# [0, 4, 1, 2, 3] +# """ +# numCands = len(utils) +# pollTuples = zip(range(numCands), polls) +# pollOrder = [t[0] for t in sorted(pollTuples, key=lambda x: -x[1])] #first to last + +# firstPreference = pollOrder[2] if utils[pollOrder[2]] > utils[pollOrder[0]] else pollOrder[0] + +# prefOrder = [cand for cand, util in sorted(zip(range(numCands), utils), key=lambda x: x[1]) +# if cand != firstPreference] #worst to best +# ballot = [0]*numCands +# ballot[firstPreference] = numCands - 1 +# for place, cand in enumerate(prefOrder): +# ballot[cand] = place +# return ballot - numWins = 0 - numLosses = 0 - for ranking, votes in remaining.items(): - possibleWinnerRanking = winnerRanking = len(ranking) + 1 - for pos in range(len(ranking)): - if ranking[pos] == possibleWinner: - possibleWinnerRanking = pos - # We can change this to a loop if there's > 1 winner - elif ranking[pos] == next(iter(winners)): - winnerRanking = pos - if possibleWinnerRanking < winnerRanking: - numWins += votes - elif winnerRanking < possibleWinnerRanking: - numLosses += votes - if numWins > numLosses: - winnersPrime.add(possibleWinner) - - # Now re-run IRV preserving all winners + winners prime - keepers = winners.union(winnersPrime) - results = [-1] * ncand - for i in range(ncand): - votes = self.candidateVotes(remaining) - toEliminate = self.getLeast(votes, keepers) - if not isinstance(toEliminate, CandidateWithCount): - # Begin "step 4", i.e. continue elimination without preserving anyone - keepers = {} - toEliminate = self.getLeast(votes) - results[ncand - i - 1] = toEliminate.candidate - remaining = self.eliminateCandidate(remaining, toEliminate) - - return results class V321(Mav): - baseCuts = [-.1,.8] + baseCuts = [-0.1, 0.8] specificPercentiles = [45, 75] stratTargetFor = Method.stratTarget3 - def results(self, ballots, isHonest=False, **kwargs): + @classmethod + def results(cls, ballots, isHonest=False, **kwargs): """3-2-1 Voting results. - >>> V321().resultsFor(DeterministicModel(3)(5,3),V321().honBallot)["results"] + >>> V321.resultsFor(DeterministicModel(3)(5,3)) [-0.75, 2, 1] - >>> V321().results([[0,1,2]])[2] + >>> V321.results([[0,1,2]])[2] 2 - >>> V321().results([[0,1,2],[2,1,0]])[1] + >>> V321.results([[0,1,2],[2,1,0]])[1] 2.5 - >>> V321().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) + >>> V321.results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) [1, 1.5, -0.25] - >>> V321().results([[0,1,2,1]]*29 + [[1,2,0,1]]*30 + [[2,0,1,1]]*31 + [[1,1,1,2]]*10) + >>> V321.results([[0,1,2,1]]*29 + [[1,2,0,1]]*30 + [[2,0,1,1]]*31 + [[1,1,1,2]]*10) [3, 0.5, 1, 0] - >>> V321().results([[1,0,2,1]]*29 + [[0,2,1,1]]*30 + [[2,1,0,1]]*31 + [[1,1,1,2]]*10) + >>> V321.results([[1,0,2,1]]*29 + [[0,2,1,1]]*30 + [[2,1,0,1]]*31 + [[1,1,1,2]]*10) [3.375, 2.875, 0.25, 0] """ candScores = list(zip(*ballots)) - n2s = [sum(1 if s>1 else 0 for s in c) for c in candScores] - o2s = argsort(n2s) #order - r2s = [-1] * len(n2s) #ranks - for r,i in enumerate(o2s): + n2s = [sum(1 if s > 1 else 0 for s in c) for c in candScores] + o2s = argsort(n2s) # order + r2s = [-1] * len(n2s) # ranks + for r, i in enumerate(o2s): r2s[i] = r - semifinalists = o2s[-3:] #[third, second, first] by top ranks - #print(semifinalists) - n1s = [sum(1 if s>0 else 0 for s in candScores[sf]) for sf in semifinalists] + semifinalists = o2s[-3:] # [third, second, first] by top ranks + # print(semifinalists) + n1s = [sum(1 if s > 0 else 0 for s in candScores[sf]) for sf in semifinalists] o1s = argsort(n1s) - #print("n1s",n1s) - #print("o1s",o1s) - #print([semifinalists[o] for o in o1s]) #[third, second, first] by above-bottom - #print("r2s",r2s) - r2s[semifinalists[o1s[0]]] -= (o1s[0] +1) * .75 #non-finalist below finalists - semiupset = o1s[1] < o1s[2] #semifinalist and finalist order are different - - - - (runnerUp,top) = semifinalists[o1s[1]], semifinalists[o1s[2]] + # print("n1s",n1s) + # print("o1s",o1s) + # print([semifinalists[o] for o in o1s]) #[third, second, first] by above-bottom + # print("r2s",r2s) + r2s[semifinalists[o1s[0]]] -= ( + o1s[0] + 1 + ) * 0.75 # non-finalist below finalists + semiupset = o1s[1] < o1s[2] # semifinalist and finalist order are different + + (runnerUp, top) = semifinalists[o1s[1]], semifinalists[o1s[2]] upset = sum(sign(ballot[runnerUp] - ballot[top]) for ballot in ballots) if upset > 0: runnerUp, top = top, runnerUp - r2s[runnerUp], r2s[top] = r2s[top] - .125, r2s[runnerUp] + .125 + r2s[runnerUp], r2s[top] = r2s[top] - 0.125, r2s[runnerUp] + 0.125 r2s[top] = max(r2s[top], r2s[runnerUp] + 0.5) if isHonest: - upset2 = sum(sign(ballot[semifinalists[o1s[0]]] - ballot[semifinalists[o1s[2]]]) for ballot in ballots) - self.__class__.extraEvents["3beats1"] = upset2 > 0 - upset3 = sum(sign(ballot[semifinalists[o1s[0]]] - ballot[semifinalists[o1s[1]]]) for ballot in ballots) - self.__class__.extraEvents["3beats2"] = upset3 > 0 + upset2 = sum( + sign(ballot[semifinalists[o1s[0]]] - ballot[semifinalists[o1s[2]]]) + for ballot in ballots + ) + cls.__class__.extraEvents["3beats1"] = upset2 > 0 + upset3 = sum( + sign(ballot[semifinalists[o1s[0]]] - ballot[semifinalists[o1s[1]]]) + for ballot in ballots + ) + cls.__class__.extraEvents["3beats2"] = upset3 > 0 if len(o2s) > 3: fourth = o2s[-4] - fourthNotLasts = sum(1 if s>1 else 0 for s in candScores[fourth]) - fourthWin = (fourthNotLasts > n1s[o1s[1]] and - sum(sign(ballot[fourth] - ballot[semifinalists[o1s[2]]]) - for ballot in ballots) - > 0) - self.__class__.extraEvents["4beats1"] = fourthWin + fourthNotLasts = sum(1 if s > 1 else 0 for s in candScores[fourth]) + fourthWin = ( + fourthNotLasts > n1s[o1s[1]] + and sum( + sign(ballot[fourth] - ballot[semifinalists[o1s[2]]]) + for ballot in ballots + ) + > 0 + ) + cls.__class__.extraEvents["4beats1"] = fourthWin return r2s @@ -797,30 +1940,28 @@ def stratBallotFor(self, polls): """Returns a function which takes utilities and returns a dict( isStrat= for the given "polling" info. - - - >>> Irv().stratBallotFor([3,2,1,0])(Irv,Voter([3,6,5,2])) - [1, 2, 3, 0] """ ncand = len(polls) - places = sorted(enumerate(polls),key=lambda x:-x[1]) #high to low - top3 = [c for c,r in places[:3]] + places = sorted(enumerate(polls), key=lambda x: -x[1]) # high to low + top3 = [c for c, r in places[:3]] - #@rememberBallots ... do it later + # @rememberBallots ... do it later def stratBallot(cls, voter): stratGap = voter[top3[1]] - voter[top3[0]] - myPrefs = [c for c,v in sorted(enumerate(voter),key=lambda x:-x[1])] #high to low + myPrefs = [ + c for c, v in sorted(enumerate(voter), key=lambda x: -x[1]) + ] # high to low my3order = [myPrefs.index(c) for c in top3] rating = 2 ballot = [0] * len(voter) - if my3order[0] == min(my3order): #agree on winner - for i in range(my3order[0]+1): + if my3order[0] == min(my3order): # agree on winner + for i in range(my3order[0] + 1): ballot[myPrefs[i]] = 2 if my3order[1] <= my3order[2]: - for i in range(my3order[0]+1,my3order[1]+1): + for i in range(my3order[0] + 1, my3order[1] + 1): ballot[myPrefs[i]] = 1 - #print("agree",top3, my3order,ballot,[float('%.1g' % c) for c in voter]) + # print("agree",top3, my3order,ballot,[float('%.1g' % c) for c in voter]) return dict(strat=ballot, isStrat=False, stratGap=stratGap) for c in myPrefs: ballot[c] = rating @@ -830,37 +1971,41 @@ def stratBallot(cls, voter): else: rating -= 1 - #print("disagree",top3,my3order,ballot,[float('%.1g' % c) for c in voter]) + # print("disagree",top3,my3order,ballot,[float('%.1g' % c) for c in voter]) return dict(strat=ballot, isStrat=True, stratGap=stratGap) + if self.extraEvents["3beats1"]: + @rememberBallots def stratBallo2(cls, voter): stratGap = voter[top3[1]] - voter[top3[0]] - myprefs = sorted(enumerate(voter),key=lambda x:-x[1]) #high to low + myprefs = sorted(enumerate(voter), key=lambda x: -x[1]) # high to low rating = 2 ballot = [None] * len(voter) - isStrat=False + isStrat = False stratGap = 0 for c, util in myprefs: ballot[c] = rating if rating and (c in top3): - if (c == top3[2]): - isStrat= (rating == 2) + if c == top3[2]: + isStrat = rating == 2 rating = 0 else: rating -= 1 - isStrat = (voter[top3[0]] == max(voter[c] for c in top3)) + isStrat = voter[top3[0]] == max(voter[c] for c in top3) return dict(strat=ballot, isStrat=isStrat, stratGap=stratGap) - stratBallo2.__name__ = "stratBallot" #God, that's ugly. + + stratBallo2.__name__ = "stratBallot" # God, that's ugly. return stratBallo2 if self.extraEvents["4beats1"]: fourth = places[3][1] first = top3[1] + @rememberBallots def stratBallo3(cls, voter): stratGap = voter[top3[1]] - voter[top3[0]] - myprefs = sorted(enumerate(voter),key=lambda x:-x[1]) #high to low + myprefs = sorted(enumerate(voter), key=lambda x: -x[1]) # high to low rating = 2 ballot = [None] * len(voter) @@ -872,160 +2017,275 @@ def stratBallo3(cls, voter): rating -= 2 return dict(strat=ballot, isStrat=True, stratGap=stratGap) - return stratBallot(cls,voter) - stratBallo3.__name__ = "stratBallot" #God, that's ugly. - return stratBallo3 + return stratBallot(cls, voter) + stratBallo3.__name__ = "stratBallot" # God, that's ugly. + return stratBallo3 return rememberBallots(stratBallot) -class Schulze(RankedMethod): - def resolveCycle(self, cmat, n): - beatStrength = [[0] * n] * n - numWins = [0] * n - for i in range(n): - for j in range(n): - if (i != j): - beatStrength[i][j] = cmat[i][j] if cmat[i][j] > cmat[j][i] else 0 - for i in range(n): - for j in range(n): - if (i != j): - for k in range(n): - if (i != k and j != k): - beatStrength[j][k] = max ( beatStrength[j][k], - min ( beatStrength[j][i], beatStrength[i][k] ) ) +class Condorcet(RankedMethod): - for i in range(n): - for j in range(n): - if i != j: - if beatStrength[i][j]>beatStrength[j][i]: - numWins[i] += 1 - if beatStrength[i][j]==beatStrength[j][i] and i>> Condorcet.results([[0,1,2]]*3+[[2,1,0]]*2) + [0.4, 0.4, 0.6] + >>> Condorcet.results([[0,1,2]]*3+[[2,1,0]]*4+[[1,2,0]]*2) + [0.4444444444444444, 0.5555555555555556, 0.33333333333333337] + """ + cmat = cls.compMatrix(ballots) + smith = cls.smithSet(cmat) + numCands = len(ballots[0]) + results = [0] * numCands + if len(smith) == 1: + winner = smith.pop() + results[winner] = 0.5 + min(marg for marg in cmat[winner] if marg != 0) / ( + 2 * len(ballots) + ) + for i in range(numCands): + if i == winner: + continue + results[i] = 0.5 + cmat[i][winner] / (2 * len(ballots)) + return results + else: + ordinalResults = cls.resolveCycle( + [row.copy() for row in cmat], numCands, ballots + ) + return [0.4 + r / (10 * numCands) for r in ordinalResults] # hideous hack - >>> Schulze().resultsFor(DeterministicModel(3)(5,3),Schulze().honBallot,isHonest=True)["results"] - [2, 0, 1] - >>> Schulze.extraEvents - {'scenario': 'cycle'} - >>> Schulze().results([[0,1,2]],isHonest=True)[2] - 2 - >>> Schulze.extraEvents - {'scenario': 'easy'} - >>> Schulze().results([[0,1,2],[2,1,0]],isHonest=True)[1] - 1 - >>> Schulze.extraEvents - {'scenario': 'easy'} - >>> Schulze().results([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2,isHonest=True) - [1, 2, 0] - >>> Schulze.extraEvents - {'scenario': 'chicken'} - >>> Schulze().results([[0,1,2]] * 4 + [[2,1,0]] * 2 + [[1,2,0]] * 3,isHonest=True) - [1, 2, 0] - >>> Schulze.extraEvents - {'scenario': 'squeeze'} - >>> Schulze().results([[3,2,1,0]] * 5 + [[2,3,1,0]] * 2 + [[0,1,0,3]] * 6 + [[0,0,3,0]] * 3,isHonest=True) - [2, 3, 1, 0] - >>> Schulze.extraEvents - {'scenario': 'other'} - >>> Schulze().results([[3,0,0,0]] * 5 + [[2,3,0,0]] * 2 + [[0,0,0,3]] * 6 + [[0,0,3,0]] * 3,isHonest=True) - [3, 0, 1, 2] - >>> Schulze.extraEvents - {'scenario': 'spoiler'} + @staticmethod + def compMatrix(ballots): + """ + >>> Condorcet.compMatrix([[0,2,1]]*5) + [[0, -5, -5], [5, 0, 5], [5, -5, 0]] + >>> Condorcet.compMatrix([[0,2,1]]*5+[[2,1,0]]*4+[[1,0,2]]*3) + [[0, 2, -4], [-2, 0, 6], [4, -6, 0]] """ n = len(ballots[0]) cmat = [[0 for _ in range(n)] for _ in range(n)] - numWins = [0] * n + for i in range(n): for j in range(n): if i != j: cmat[i][j] = sum(sign(ballot[i] - ballot[j]) for ballot in ballots) - if cmat[i][j]>0: - numWins[i] += 1 - elif cmat[i][j]==0 and i>> Condorcet.smithSet([[0,-4,-3],[4,0,1],[3,-1,0]]) + {1} + >>> Condorcet.smithSet([[0,-4,-3,-5],[4,0,1,-1],[3,-1,0,2],[5,1,-2,0]]) + {1, 2, 3} + >>> Condorcet.smithSet([[0,0,-3,-5],[0,0,1,-1],[3,-1,0,2],[5,1,-2,0]]) + {0, 1, 2, 3} + """ + winCount = [sum(1 if matchup > 0 else 0 for matchup in row) for row in cmat] + s = {candID for candID, wins in enumerate(winCount) if wins == max(winCount)} + extensionFound = True + while extensionFound: + extensionFound = False + for cand, matchups in enumerate(cmat): + if cand not in s and any(matchups[i] >= 0 for i in s): + s.add(cand) + extensionFound = True + return s + @classmethod + def scenarioType(cls, electorate): + """Returns the type of scenario presented by the given electorate. + + >>> Condorcet.scenarioType([[2,1,0]]*9 + [[1,0,2]]*8 + [[0,2,1]]*7) + 'cycle' + >>> Condorcet.scenarioType([[0,1,2]]*2 + [[2,1,0]]) + 'easy' + >>> Condorcet.scenarioType([[0,1,2],[2,1,0]]) + 'easy' + >>> Condorcet.scenarioType([[0,1,2]] * 4 + [[2,1,0]] * 3 + [[1,2,0]] * 2) + 'chicken' + >>> Condorcet.scenarioType([[0,1,2]] * 4 + [[2,1,0]] * 2 + [[1,2,0]] * 3) + 'squeeze' + >>> Condorcet.scenarioType([[3,2,1,0]] * 5 + [[2,3,1,0]] * 2 + [[0,1,0,3]] * 6 + [[0,0,3,0]] * 3) + 'other' + >>> Condorcet.scenarioType([[3,0,0,0]] * 5 + [[2,3,0,0]] * 2 + [[0,0,0,3]] * 6 + [[0,0,3,0]] * 3) + 'spoiler' + """ + ballots = [cls.honBallot(voter) for voter in electorate] + n = len(electorate[0]) + cmat = cls.compMatrix(ballots) + numWins = [ + sum( + matchup > 0 or (matchup == 0 and i < j) for j, matchup in enumerate(row) + ) + for i, row in enumerate(cmat) + ] + condOrder = sorted(enumerate(numWins), key=lambda x: -x[1]) + if condOrder[0][1] < n - 1: + return "cycle" + plurTally = [0] * n + plur3Tally = [0] * 3 + cond3 = [c for c, v in condOrder[:3]] + for b in ballots: + b3 = [b[c] for c in cond3] + plurTally[b.index(max(b))] += 1 + plur3Tally[b3.index(max(b3))] += 1 + plurOrder = sorted(enumerate(plurTally), key=lambda x: -x[1]) + plur3Order = sorted(enumerate(plur3Tally), key=lambda x: -x[1]) + if plurOrder[0][0] == condOrder[0][0]: + return "easy" + elif plur3Order[0][0] == condOrder[0][0]: + return "spoiler" + elif plur3Order[2][0] == condOrder[0][0]: + return "squeeze" + elif plur3Order[0][0] == condOrder[2][0]: + return "chicken" + else: + return "other" @classmethod - def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult): + def fillStratBallot( + cls, + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ): if stratGap > 0: others = [c for (c, r) in places[2:]] notTooBad = min(voter[frontId], voter[targId]) decentOnes = [c for c in others if voter[c] >= notTooBad] - cls.fillPrefOrder(voter, ballot, - whichCands=decentOnes, - lowSlot=n-len(decentOnes)) - #ballot[frontId], ballot[targId] = n-len(decentOnes)-1, n-len(decentOnes)-2 - ballot[frontId], ballot[targId] = 0, n-len(decentOnes)-1 - cls.fillPrefOrder(voter, ballot, + cls.fillPrefOrder( + voter, ballot, whichCands=decentOnes, lowSlot=n - len(decentOnes) + ) + # ballot[frontId], ballot[targId] = n-len(decentOnes)-1, n-len(decentOnes)-2 + ballot[frontId], ballot[targId] = 0, n - len(decentOnes) - 1 + cls.fillPrefOrder( + voter, + ballot, whichCands=[c for c in others if voter[c] < notTooBad], - lowSlot=1) + lowSlot=1, + ) else: ballot[frontId] = n - 1 - cls.fillPrefOrder(voter, ballot, - whichCands=[c for (c, r) in places[1:]], - lowSlot=0) + cls.fillPrefOrder( + voter, ballot, whichCands=[c for (c, r) in places[1:]], lowSlot=0 + ) + + vaBallot = Borda.vaBallot + + @classmethod # copy-pasted from Irv. The alternatives seemed uglier. + def compBallot(cls, utils, intensity, candToHelp, candToHurt=None, **kw): + """Useless unless there's a cycle + >>> Schulze.compBallot([0,1,2,10],3,1,0) + [0, 3, 1, 2] + """ + ballot = cls.honBallot(utils) + if intensity < 3: + return STAR.compBallot( + utils, intensity, candToHelp=candToHelp, candToHurt=candToHurt, **kw + ) + helpRank = ballot[candToHelp] + for cand, rank in enumerate(ballot): + if rank > helpRank: + ballot[cand] -= 1 + ballot[candToHelp] = len(utils) - 1 + return ballot + + @classmethod + def diehardBallot(cls, utils, intensity, candToHurt, candToHelp=None, **kw): + """Buries candToHurt + >>> Schulze.diehardBallot([0,1,2,3,4],3,candToHelp=3,candToHurt=2) + [1, 2, 0, 3, 4] + """ + ballot = cls.honBallot(utils) + if intensity < 3: + return STAR.diehardBallot( + utils, intensity, candToHelp=candToHelp, candToHurt=candToHurt, **kw + ) + hurtRank = ballot[candToHurt] + for cand, rank in enumerate(ballot): + if rank < hurtRank: + ballot[cand] += 1 + ballot[candToHurt] = 0 + return ballot + + # @classmethod + # def defaultbgs(cls): + # return [cls.honBallot, cls.vaBallot] + + # @classmethod + # def defaultfgs(cls): + # return super().defaultfgs()\ + # + [(Borda.vaBallot, targs) for targs in [select21, select31]] + + +class Schulze(Condorcet): + @classmethod + def resolveCycle(cls, cmat, n, ballots): + + beatStrength = [[0] * n] * n + numWins = [0] * n + for i in range(n): + for j in range(n): + if i != j: + beatStrength[i][j] = cmat[i][j] if cmat[i][j] > cmat[j][i] else 0 + for i in range(n): + for j in range(n): + if i != j: + for k in range(n): + if i != k and j != k: + beatStrength[j][k] = max( + beatStrength[j][k], + min(beatStrength[j][i], beatStrength[i][k]), + ) + + for i in range(n): + for j in range(n): + if i != j: + if beatStrength[i][j] > beatStrength[j][i]: + numWins[i] += 1 + if ( + beatStrength[i][j] == beatStrength[j][i] and i < j + ): # break ties deterministically + numWins[i] += 1 -class Rp(Schulze): - def resolveCycle(self, cmat, n): + return numWins + + +class Rp(Condorcet): + @classmethod + def resolveCycle(cls, cmat, n, ballots): """Note: mutates cmat destructively. - >>> Rp().resultsFor(DeterministicModel(3)(5,3),Rp().honBallot,isHonest=True)["results"] - [1, 2, 0] + >>> Rp.resultsFor(DeterministicModel(3)(5,3)) + [0.43333333333333335, 0.4666666666666667, 0.4] """ - matches = [(i, j, cmat[i][j]) for i in range(n) for j in range(i,n) if i != j] - rps = sorted(matches,key=lambda x:-abs(x[2])) + matches = [(i, j, cmat[i][j]) for i in range(n) for j in range(i, n) if i != j] + rps = sorted(matches, key=lambda x: -abs(x[2])) for (i, j, margin) in rps: if margin < 0: i, j = j, i if cmat[j][i] is not True: - #print(i,j,cmat) + # print(i,j,cmat) cmat[i][j] = True - #print("....",i,j,cmat) + # print("....",i,j,cmat) for k in range(n): if k not in (i, j): if cmat[j][k] is True: @@ -1033,16 +2293,221 @@ def resolveCycle(self, cmat, n): if cmat[k][i] is True: cmat[k][j] = True - #print(".......",i,j,k,cmat) + # print(".......",i,j,k,cmat) return [sum(cmat[i][j] is True for j in range(n)) for i in range(n)] +class Minimax(Condorcet): + """Smith Minimax margins""" + + @classmethod + def resolveCycle(cls, cmat, n, ballots): + """Unnecessary for Minimax; this method is never called.""" + smith = cls.smithSet(cmat) + places = sorted( + [cand for cand in range(n) if cand not in smith], + key=lambda c: min(cmat[c]), + ) + sorted(list(smith), key=lambda c: min(cmat[c])) + return [places.index(cand) for cand in range(n)] + + @classmethod + def results(cls, ballots, **kw): + """ + >>> Minimax.results([[2,1,0]]*5+[[1,2,0]]*4+[[0,1,2]]*2) + [0.45454545454545453, 0.5454545454545454, 0.18181818181818182] + >>> Minimax.results([[2,1,0]]*6 + [[1,0,2]]*5 + [[0,2,1]]*4) + [0.4, 0.26666666666666666, 0.33333333333333337] + >>> Minimax.results([[2,1,0]]+[[1,2,0]]) + [0.5, 0.5, 0.0] + """ + numCands = len(ballots[0]) + cmat = cls.compMatrix(ballots) + smith = cls.smithSet(cmat) + if len(smith) != 1: + return [ + 0.5 + + min(cmat[cand][i] for i in smith if cand != i) / (2 * len(ballots)) + for cand in range(numCands) + ] + results = [0] * numCands + winner = smith.pop() + results[winner] = 0.5 + min(marg for marg in cmat[winner] if marg != 0) / ( + 2 * len(ballots) + ) + for i in range(numCands): + if i == winner: + continue + results[i] = 0.5 + cmat[i][winner] / (2 * len(ballots)) + return results + + +class Raynaud(Condorcet): + """Raynaud margins""" + + @classmethod + def resolveCycle(cls, cmat, n, *args): + """ + >>> Raynaud.resolveCycle([[0, 2, -4], [-2, 0, 6], [4, -6, 0]],3) + [2, 1, 0] + >>> Raynaud.results([[2,1,0]]*6 + [[1,0,2]]*5 + [[0,2,1]]*4) + [0.43333333333333335, 0.4, 0.4666666666666667] + """ + candsLeft = set(range(n)) + results = [0] * n + numEliminated = 0 + while len(candsLeft) > 1: + worstMargin = 1 + loser = None + for cand in candsLeft: + candWorstMargin = min(cmat[cand][c] for c in candsLeft if c != cand) + if candWorstMargin < worstMargin: + loser = cand + worstMargin = candWorstMargin + results[loser] = numEliminated + candsLeft.remove(loser) + numEliminated += 1 + results[candsLeft.pop()] = n - 1 + return results + + +class RankedRobin(Condorcet): + """Elects the candidate whose aggratate pairwise margin against other candidates + who have greatest number of pairwise wins is the greatest + """ + + @classmethod + def results(cls, ballots, **kw): + """ + >>> RankedRobin.results([[2,1,0]]*3+[[0,2,1]]*4+[[1,0,2]]*5) + [0.4583333333333333, 0.4583333333333333, 0.5833333333333334] + >>> RankedRobin.results([[3,2,0,1]]*30 + [[0,3,2,1]]*30 + [[2,0,3,1]]*30 + [[0,1,2,3]]*10) + [0.45, 0.5, 0.55, 0.4] + >>> RankedRobin.results([[3,2,0,1]]*30 + [[1,3,2,0]]*30 + [[2,0,3,1]]*30 + [[0,1,2,3]]*10) + [0.45, 0.5, 0.55, 0.09999999999999998] + """ + numCands = len(ballots[0]) + cmat = cls.compMatrix(ballots) + matchupWins = [sum(marg > 0 for marg in row) for row in cmat] + mostWins = max(matchupWins) + finalists = [i for i in range(numCands) if matchupWins[i] == mostWins] + rest = [i for i in range(numCands) if i not in finalists] + results = [0] * numCands + if len(finalists) == 1: + results[finalists[0]] = 0.5 + min( + marg for marg in cmat[finalists[0]] if marg != 0 + ) / (2 * len(ballots)) + else: + for f in finalists: + results[f] = 0.5 + sum( + marg for i, marg in enumerate(cmat[f]) if i in finalists + ) / (2 * len(ballots) * (len(finalists) - 1)) + for cand in rest: + results[cand] = 0.5 + min(cmat[cand][f] for f in finalists) / ( + 2 * len(ballots) + ) + return results + + +class SmithIRV(Condorcet): + """Determines the Smith set, then elects the IRV winner from among it.""" + + @classmethod + def resolveCycle(cls, cmat, n, ballots): + """ + >>> SmithIRV.results([[2,1,0]]*6 + [[1,0,2]]*5 + [[0,2,1]]*4) + [0.43333333333333335, 0.4, 0.4666666666666667] + >>> SmithIRV.results([[3,2,0,1]]*6 + [[2,1,0,3]]*5 + [[0,3,1,2]]*4) + [0.45, 0.42500000000000004, 0.4, 0.47500000000000003] + """ + smithList = sorted(list(cls.smithSet(cmat))) + shortenedBallots = [[b[i] for i in smithList] for b in ballots] + irvResults = Irv.results(shortenedBallots) + irvTuples = sorted(zip(smithList, irvResults), key=lambda x: x[1]) + otherResults = sorted( + [(c, min(cmat[c])) for c in range(n) if c not in smithList], + key=lambda x: x[1], + ) + resultTuples = otherResults + irvTuples # worst to best + ordinalResults = [0] * n + for i in range(n): + ordinalResults[resultTuples[i][0]] = i + return ordinalResults + + +def smithVersion(baseMethod): + """Returns the voting method Smith//baseMethod""" + + class SmithMethod(baseMethod): + @classmethod + def results(cls, ballots, **kw): + numCands = len(ballots[0]) + cmat = Condorcet.compMatrix(ballots) + smithSet = Condorcet.smithSet(cmat) + if len(smithSet) == 1: + return Condorcet.results(ballots) + if len(smithSet) == numCands: + return super().results(ballots) + + smithList = sorted(list(smithSet)) + shortenedBallots = [[b[i] for i in smithList] for b in ballots] + baseResults = super().results( + shortenedBallots + ) # results using the base method for candidates in the smith set + baseTuples = sorted(zip(smithList, baseResults), key=lambda x: x[1]) + otherResults = sorted( + [ + (c, 0.5 + min(cmat[c][s] for s in smithSet) / (2 * len(ballots))) + for c in range(numCands) + if c not in smithList + ], + key=lambda x: x[1], + ) + minSmith = min( + baseResults + ) # the result of the weakest candidate in the Smith set + maxOther = max(result for cand, result in otherResults) + minOther = min(result for cand, result in otherResults) + if maxOther >= minSmith: + scaleFactor = (minSmith - 0.01) / ( + minSmith - 0.01 - min(minOther + minSmith - 0.01 - maxOther, 0) + ) + otherResults = [ + (c, minSmith - 0.01 - scaleFactor * (maxOther - r)) + for c, r in otherResults + ] + resultTuples = otherResults + baseTuples # worst to best + finalResults = [0] * numCands + for cand, result in resultTuples: + finalResults[cand] = result + return finalResults + + return SmithMethod + + +class SmithScore(smithVersion(Score)): + """Smith//Score + >>> SmithScore.results([[2,1,0]]*10 + [[1,0,5]]*5) + [0.6666666666666666, 0.0, 0.33333333333333337] + >>> SmithScore.results([[5,4,0]]*6 + [[1,0,5]]*5 + [[0,5,1]]*4) + [0.4666666666666667, 0.5866666666666667, 0.38666666666666666] + >>> SmithScore.results([[5,4,0,1]]*5 + [[4,0,5,1]]*5 + [[0,5,4,3]]*5) + [0.6, 0.6, 0.6, 0.33333333333333337] + """ + + compLevels = [] + diehardLevels = [] + + class IRNR(RankedMethod): stratMax = 10 - stratTargetFor = Method.stratTarget3 # strategize in favor of third place, because second place is pointless (can't change pairwise) - def results(self, ballots, **kwargs): + stratTargetFor = ( + Method.stratTarget3 + ) # strategize in favor of third place, because second place is pointless (can't change pairwise) + + @classmethod + def results(cls, ballots, **kwargs): enabled = [True] * len(ballots[0]) numEnabled = sum(enabled) results = [None] * len(enabled) @@ -1073,22 +2538,94 @@ def results(self, ballots, **kwargs): results[i] = tsum[i] return results - @staticmethod #cls is provided explicitly, not through binding - @rememberBallot - def honBallot(cls, utils): - """Takes utilities and returns an honest ballot - """ + @classmethod + def honBallot(cls, utils, **kw): + """Takes utilities and returns an honest ballot""" return utils - - @classmethod - def fillStratBallot(cls, voter, polls, places, n, stratGap, ballot, - frontId, frontResult, targId, targResult): + def fillStratBallot( + cls, + voter, + polls, + places, + n, + stratGap, + ballot, + frontId, + frontResult, + targId, + targResult, + ): if stratGap <= 0: ballot[frontId], ballot[targId] = cls.stratMax, 0 else: ballot[frontId], ballot[targId] = 0, cls.stratMax - cls.fillPrefOrder(voter, ballot, + cls.fillPrefOrder( + voter, + ballot, whichCands=[c for (c, r) in places[2:]], - nSlots = 1, lowSlot=1, remainderScore=0) + nSlots=1, + lowSlot=1, + remainderScore=0, + ) + + +class ITRV(Method): + """Iterated Threshold Reapproval Voting""" + + @classmethod + def results(cls, ballots, **kw): + """ + >>> ITRV.results([[5,2,1,-10]]*5 + [[1,5,3,-10]]*6 + [[1,-2,10,0]]*4) + [0.6, 0.4, 0.3333333333333333, -0.4] + >>> ITRV.results([[5,2,1,-10]]*5 + [[1,2,5,-10]]*6 + [[1,5,0,4]]*2) + [0.5384615384615384, 0.23076923076923078, 0.46153846153846156, -0.46153846153846156] + >>> ITRV.results([[5,4,1,-10]]*5 + [[1,4,5,-10]]*6 + [[1,5,0,4]]*2) + [0.38461538461538464, 0.5384615384615384, 0.46153846153846156, -0.3076923076923077] + """ + n = len(ballots[0]) + candsLeft = n + remainingCands = list(range(n)) + rounds = [] + while candsLeft > 1: + approvals = [0 if i in remainingCands else -1 for i in range(n)] + for b in ballots: + threshold = sum(b[c] / candsLeft for c in remainingCands) + for cand in remainingCands: + if b[cand] > threshold: + approvals[cand] += 1 + elim = approvals.index(min(approvals[c] for c in remainingCands)) + remainingCands.remove(elim) + rounds.append((elim, list(remainingCands), approvals)) + candsLeft -= 1 + results = [0] * len(ballots[0]) + lastTotal = approvals[remainingCands[0]] + results[remainingCands[0]] = lastTotal / len(ballots) + for loser, survivors, roundResults in reversed(rounds): + newTotal = lastTotal - min( + roundResults[c] - roundResults[loser] for c in survivors + ) + lastTotal = newTotal + results[loser] = newTotal / len(ballots) + return results + + @classmethod + def honBallot(cls, utils, **kw): + """Takes utilities and returns an honest ballot""" + return utils + + +class SmithITRV(smithVersion(ITRV)): + """ + >>> SmithITRV.results([[5,2,1,-10]]*5 + [[1,5,3,-10]]*6 + [[1,-2,10,0]]*4) + [0.6, 0.4, 0.3333333333333333, 0.0] + """ + + pass + + +if __name__ == "__main__": + import doctest + + doctest.testmod() diff --git a/multiVseCheck.R b/multiVseCheck.R new file mode 100644 index 0000000..4f77040 --- /dev/null +++ b/multiVseCheck.R @@ -0,0 +1,181 @@ +library(data.table) +library(scatterD3) +# +# vse = fread("full1.csv") +# vse = rbind(vse,fread("full2.csv")) +# vse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# vse[chooser=="honBallot",mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# ovse = fread("lowDks2.csv") +# ovse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# ovse[chooser %in% c("honBallot","Oss.hon_strat.","Prob.strat50_hon50."),mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# mvse = fread("media413.csv") +# mvse = rbind(mvse,fread("media41.csv"), fill=T) +# mvse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# mvse[chooser %in% c("honBallot","Oss.hon_strat.","Prob.strat50_hon50."),mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# +# +# +# +# +# +# +# +# +# +# fvse = fread("fuzzy5.csv") +# fvse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] +# +# fvse = fread("wtf1.csv") +# +# fvse = rbind(fvse,fread("wtf2.csv")) + +for (modelName in c("9random", "2d", + "3d", "3cand", "8cand", "0picky", "01MOE")) { + + fvse = fread(paste0(modelName, "1.csv")) + numVoters = mean(fvse[,numVoters]) + vses = fvse[method != "ApprovalPoll",list(VSE=mean((r1WinnerUtil - meanCandidateUtil) / + (magicBestUtil - meanCandidateUtil))),by=.(method,backgroundStrat)] + dcast(vses, method ~ backgroundStrat) + vses + + fromhons = fvse[backgroundStrat=="honBallot" & fgStrat == "lowInfoBallot" & method != "Minimax", + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + avgStrategicRegret=mean((avgStrategicRegret) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHelpedUtilDiff=mean((fgHelpedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHarmedUtilDiff=mean((fgHarmedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters) + ), + by=.(method,backgroundStrat, fgStrat, fgArgs)] + fromhons + + fromawares = fvse[((backgroundStrat=="lowInfoBallot" & method != "Minimax") | (backgroundStrat=="honBallot" &method == "Minimax")) & !fgStrat %in% c("", "lowInfoBallot"), + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + avgStrategicRegret=mean(avgStrategicRegret / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHelpedUtilDiff=mean(fgHelpedUtilDiff / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHarmedUtilDiff=mean(fgHarmedUtilDiff / (magicBestUtil - meanCandidateUtil) / numVoters)), + by=.(method,backgroundStrat, fgStrat, fgArgs, fgTargets)] + fromawares + + besttargets = function(grouped) { + grouped[,target:=fgTargets[order(-avgStrategicRegret)[1]], by=.(method,backgroundStrat, fgStrat, fgArgs)] + # justBest = grouped[target,,] + chosen = grouped[grouped[, .I[avgStrategicRegret == max(avgStrategicRegret)], by = .(method,backgroundStrat, fgStrat, fgArgs)]$V1] + } + bestfromawares = besttargets(fromawares) + bestfromawares + + library(ggplot2) + library(ggthemes) + library(dplyr) + library(forcats) + library(scales) + + #vse as bars + (ggplot(data = vses, aes(x = VSE, y = method, group = method)) + + geom_line(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)")) + + #vse as dots + vseGraph = ( + vses[!(method=="Minimax" & backgroundStrat=="lowInfoBallot"),] %>% + mutate(method = method + %>% fct_reorder(VSE, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = VSE, y = as.factor(method), color = backgroundStrat)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1))#, limits=c(.68, 1.0)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)") + + labs(color="Voter Behavior") + scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + ggsave(paste0(modelName, " VSE.png"), + plot=vseGraph, + width = 6.4, height = 2.4, dpi=125, units = "in") + + #ASR for viability-aware + ASR1 = ( + fromhons %>% + mutate(method = method + %>% fct_reorder(avgStrategicRegret, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = avgStrategicRegret, y = as.factor(method))) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1))#, limits = c(-.0,.38)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Average Strategic Regret (ASR) for not casting a viability-aware ballot") + #+ labs(color="Voter Behavior") + #+ scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + + ggsave(paste0(modelName, " ASR1.png"), + plot=ASR1, + width = 6.4, height = 2.2, dpi=125, units = "in") + + + #ASR for targeted strategy + ASR2 = ( + bestfromawares %>% + mutate(method = method + %>% fct_reorder(avgStrategicRegret, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = avgStrategicRegret, y = as.factor(method), shape = as.factor(fgStrat), color = fgArgs)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Average Strategic Regret (ASR) for not using targeted strategy") + + labs(color="Strategy level", shape="Strategy type") + + scale_colour_colorblind(labels = c("Honest", "Semi-honest", "Dishonest", "Bullet")) + + scale_shape(labels = c("Compromise", "Die-hard")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) + ) + ggsave(paste0(modelName, " ASR2.png"), + plot=ASR2, + width = 6.4, height = 2.4, dpi=125, units = "in") +} diff --git a/mwmethods.py b/mwmethods.py new file mode 100644 index 0000000..88fcae7 --- /dev/null +++ b/mwmethods.py @@ -0,0 +1,726 @@ +from dataClasses import * +from methods import Approval, Irv, STAR, Minimax, Plurality, Score +from numpy import floor, sign + + +def makeBlock(method): + class BlockVoting(method): + @classmethod + def winnerSet(cls, ballots, numWinners): + winners = [] + nCands = len(ballots[0]) + unelectedCands = list(range(nCands)) + while len(winners) < numWinners: + shortenedBallots = [[b[i] for i in unelectedCands] for b in ballots] + shortWinnerID = super().winner(super().results(shortenedBallots)) + winner = unelectedCands[shortWinnerID] + winners.append(winner) + unelectedCands.remove(winner) + return winners + + BlockVoting.__name__ = f"Block{method.__name__}" + return BlockVoting + + +class BlockApproval(makeBlock(Approval)): + pass # What's used in Fargo + + +class PBV(makeBlock(Irv)): + pass # Preferential BLock Voting, used in Utah + + +class BlockSTAR(makeBlock(STAR)): + pass + + +class BlockMinimax(makeBlock(Minimax)): + pass + + +class SNTV(makeBlock(Plurality)): + pass # not typically viewed as block voting, but this implements it + + +class weightedBallot(list): + def __init__(self, *args, **kw): + self.weight = kw.get("weight", 1) + super().__init__(*args) + + +def exactHare(numVoters, numWinners): + return numVoters / numWinners + + +def droop(numVoters, numWinners): + return int(numVoters / (numWinners + 1)) + 1 + + +class RRV(Score): + @classmethod + def divisor(cls, winners): + """D'Hondt""" + return winners + 1 + + @classmethod + def winnerSet(cls, ballots, numWinners): + winners = [] + nCands = len(ballots[0]) + unelectedCands = list(range(nCands)) + scoreToWinners = [0] * len(ballots) + while len(winners) < numWinners: + candTotals = [-1 if c in winners else 0 for c in range(nCands)] + for ballot, s in zip(ballots, scoreToWinners): + for c in unelectedCands: + candTotals[c] += ballot[c] / cls.divisor(s / cls.topRank) + winner = candTotals.index(max(candTotals)) + for i, ballot in enumerate(ballots): + scoreToWinners[i] += ballot[winner] + winners.append(winner) + unelectedCands.remove(winner) + return winners + + +class SPAV(RRV): + """Sequential Proportional Approval Voting + >>> SPAV.winnerSet([[1,1,1,0]]*10+[[1,1,0,0]]*10+[[0,0,0,1]]*9+[[1,0,0,0]],3) + [0, 1, 3] + """ + + topRank = 1 + + +class AllocatedScore(STAR): + """ + NOT the same Allocated Score as is on Electowiki + This version doesn't care about ballot weights for who gets put in a quota + >>> AllocatedScore.winnerSet([[5,4,2,0]]*10+[[4,5,0,0]]*10+[[0,1,2,5]]*9+[[5,0,0,0]],3) + [1, 0, 3] + >>> AllocatedScore.winnerSet([[5,4,2,0]]*10+[[4,5,0,0]]*10+[[0,0,2,5]]*9+[[5,0,0,0]],3) + [0, 1, 3] + >>> AllocatedScore.winnerSet([[5,4,2,0]]*10+[[4,5,0,0]]*10+[[0,0,2,5]]*9+[[5,0,0,0]],2) + [0, 3] + >>> AllocatedScore.winnerSet([[5,4,0]]*5+[[4,5,0]]*4+[[0,1,5]]*5,2) + [1, 2] + """ + + methodQuota = staticmethod(exactHare) + + @classmethod + def pickWinner(cls, ballots, unelectedCands, *args): + """ + Picks a winner from unelectedCands using the inputted weighted ballots + """ + candTotals = [0 if c in unelectedCands else -1 for c in range(len(ballots[0]))] + for ballot in ballots: + for c in unelectedCands: + candTotals[c] += ballot[c] * ballot.weight + return candTotals.index(max(candTotals)) + + @classmethod + def reweight(cls, ballots, winner, quota): + """Reweights the inputted (weighted) ballots based on how they voted for winner""" + totalSupport = 0 + score = cls.topRank + 1 + scoreSupport = 0 + while totalSupport < quota: + score -= 1 + scoreSupport = sum( + ballot.weight for ballot in ballots if ballot[winner] == score + ) + totalSupport += scoreSupport + surplusFraction = max(0, (totalSupport - quota) / scoreSupport) + for ballot in ballots: + if ballot[winner] > score: + ballot.weight = 0 + elif ballot[winner] == score: + ballot.weight *= surplusFraction + + @classmethod + def winnerSet(cls, ballots, numWinners): + winners = [] + nCands = len(ballots[0]) + unelectedCands = list(range(nCands)) + wBallots = [weightedBallot(b) for b in ballots] + quota = cls.methodQuota(len(ballots), numWinners) + while True: + winner = cls.pickWinner(wBallots, unelectedCands, quota, numWinners) + unelectedCands.remove(winner) + winners.append(winner) + if len(winners) == numWinners: + return winners + cls.reweight(wBallots, winner, quota) + return winners + + @classmethod + def twoSlopeBallot(cls, utils, threshold=0.7, thresholdScore=2, **kw): + """ + >>> AllocatedScore.twoSlopeBallot([0,1,2,3,4,5,6,7,8,9,10,11], threshold=0, thresholdScore=0) + [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 2.0, 3.0, 4.0, 5.0] + """ + bot = min(utils) + top = max(utils) + meanUtil = sum(utils) / len(utils) + utilThreshold = (top - meanUtil) * threshold + meanUtil + ballot = [] + for util in utils: + if util > utilThreshold: + ballot.append( + floor( + (cls.topRank - thresholdScore + 0.99) + * (util - utilThreshold) + / (top - utilThreshold) + + thresholdScore + ) + ) + else: + ballot.append( + floor( + (thresholdScore + 0.99) * (util - bot) / (utilThreshold - bot) + ) + ) + return ballot + + @classmethod + def vaRangeBallot( + cls, utils, electabilities, numWinners, exponent=2, boundConst=0.5, **kw + ): + """ + >>> AllocatedScore.vaRangeBallot([0,1,2,3,4,5], [0.5,0,0,0,0,.5], 4, exponent=1) + [0.0, 1.0, 2.0, 3.0, 4.0, 5.0] + >>> AllocatedScore.vaRangeBallot([0,1,2,3,4,5], [0,0,.5,0,.5,0], 4, exponent=1) + [0.0, 0.0, 0.0, 2.0, 5.0, 5] + >>> AllocatedScore.vaRangeBallot([0,1,2,3,4,5], [0.5,0,0,0,0.5,0], 4, exponent=2) + [0.0, 0.0, 1.0, 3.0, 5.0, 5] + """ + highBound, lowBound = boundConst / numWinners, boundConst / numWinners + sortedTuples = sorted(zip(utils, electabilities), key=lambda x: x[0]) + totalProb = 0 + for u, e in sortedTuples: + totalProb += e + if totalProb > lowBound: + lowUtil = u + break + totalProb = 0 + for u, e in reversed(sortedTuples): + totalProb += e + if totalProb > highBound: + highUtil = u + break + if highUtil == lowUtil: + return Score.zeroInfoBallot(utils, exponent) + adjustedUtils = [max(u - lowUtil, 0) ** exponent for u in utils] + return cls.interpolatedBallot( + adjustedUtils, 0, (highUtil - lowUtil) ** exponent + ) + + @classmethod + def truncatedBallot(cls, utils, threshold=0, exp=1, **kw): + """ + >>> AllocatedScore.truncatedBallot([0,1,2,3,4,5,6], threshold=0, exp=3) + [0, 0, 0, 0, 1.0, 3.0, 5.0] + """ + baseBallot = Score.zeroInfoBallot(utils, exp) + meanUtil = sum(utils) / len(utils) + bestUtil = max(utils) + return [ + baseBallot[i] + if (utils[i] - meanUtil) / (bestUtil - meanUtil) > threshold + else 0 + for i in range(len(utils)) + ] + + @classmethod + def truncatedBallot2(cls, utils, threshold=0, exp=1, **kw): + """ + >>> AllocatedScore.truncatedBallot2([0,1,2,3,4,5,6], threshold=3, exp=2) + [0, 0, 0, 0, 0, 4.0, 5.0] + """ + baseBallot = Score.zeroInfoBallot(utils, exp) + return [s if s >= threshold else 0 for s in baseBallot] + + +class ASC(AllocatedScore): + """Allocated Score Classic, the version on Electowiki + >>> ASC.winnerSet([[5,4,0,5]]*10+[[4,3,5,0]]*5,3) + [0, 1, 3] + >>> AllocatedScore.winnerSet([[5,4,0,5]]*10+[[4,3,5,0]]*5,3) + [0, 1, 2] + """ + + @classmethod + def reweight(cls, ballots, winner, quota): + sortedBallots = sorted(ballots, key=lambda b: -b[winner] * b.weight) + totalSupport = 0 + scoreSupport = 0 + lastScore = -1 + for b in sortedBallots: + bScore = b[winner] * b.weight + if bScore == 0 or (totalSupport > quota and bScore != lastScore): + break + totalSupport += b.weight + if bScore == lastScore: + scoreSupport += b.weight + else: + lastScore = bScore + scoreSupport = b.weight + surplusFraction = ( + max(0, (totalSupport - quota) / scoreSupport) if scoreSupport > 0 else 0 + ) + for ballot in ballots: + if ballot[winner] * ballot.weight > lastScore: + ballot.weight = 0 + elif ballot[winner] * ballot.weight == lastScore: + ballot.weight *= surplusFraction + + +class ASCD(ASC): + methodQuota = staticmethod(droop) + + +class ASCDFinalRunoff(ASCD): + """ + >>> ASCDFinalRunoff.winnerSet([[5,0]]+[[0,1]]*3, 1) + [1] + >>> ASCDFinalRunoff.winnerSet([[5,2,0]]*5+[[4,5,0]]*5+[[0,1,5]]*6, 2) + [0, 2] + """ + + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + return ASFinalRunoff.pickWinner(ballots, unelectedCands, quota, numWinners) + + +class ASCDR(ASCD): + """ + Classic Allocated Score with the Droop quota and a runoff in every round + >>> ASCDR.winnerSet([[5,2,0]]*5+[[4,5,0]]*5+[[0,1,5]]*6, 2) + [1, 2] + """ + + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + return ASRunoffs.pickWinner(ballots, unelectedCands, quota, numWinners) + + +class ASFinalRunoff(AllocatedScore): + """ + Allocated score with a runoff in the final round + >>> ASFinalRunoff.winnerSet([[5,0,3]]*5+[[0,1,3]]*6, 2) + [2, 1] + """ + + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + if len(ballots[0]) - len(unelectedCands) < numWinners - 1: + return super().pickWinner(ballots, unelectedCands) + candTotals = [0 if c in unelectedCands else -1 for c in range(len(ballots[0]))] + for ballot in ballots: + for c in unelectedCands: + candTotals[c] += ballot[c] * ballot.weight + (runnerUp, top) = sorted(range(len(ballots[0])), key=lambda i: candTotals[i])[ + -2: + ] + upset = sum( + sign(ballot[runnerUp] - ballot[top]) * ballot.weight for ballot in ballots + ) + return runnerUp if upset > 0 else top + + +class ASRunoffs(AllocatedScore): + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + candTotals = [ + sum(b[c] * b.weight for b in ballots) if c in unelectedCands else -1 + for c in range(len(ballots[0])) + ] + (runnerUp, top) = sorted(range(len(ballots[0])), key=lambda i: candTotals[i])[ + -2: + ] + upset = sum( + sign(ballot[runnerUp] - ballot[top]) * ballot.weight for ballot in ballots + ) + return runnerUp if upset > 0 else top + + +class ASRDroop(ASRunoffs): + methodQuota = staticmethod(droop) + + +class ASR2(ASRunoffs): + topRank = 25 + + @classmethod + def winnerSet(cls, ballots, numWinners): + newBallots = [[s**2 for s in ballot] for ballot in ballots] + return super().winnerSet(newBallots, numWinners) + + +class SequentialMonroe(AllocatedScore): + """ + >>> SequentialMonroe.winnerSet([[5,4,0]]*5+[[4,5,0]]*4+[[0,1,5]]*5,2) + [0, 2] + """ + + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + ncand = len(ballots[0]) + quotaStrengths = [0] * ncand + supportersCounted = [0] * ncand + quotasLeft = unelectedCands.copy() + score = cls.topRank + 1 + while quotasLeft and score > 0: + score -= 1 + for ballot in ballots: + for c in quotasLeft: + if ballot[c] == score: + quotaStrengths[c] += score * ballot.weight + supportersCounted[c] += ballot.weight + quotasFilled = set() + for c in quotasLeft: + if supportersCounted[c] >= quota: + quotaStrengths[c] -= score * (supportersCounted[c] - quota) + quotasFilled.add(c) + for c in quotasFilled: + quotasLeft.remove(c) + bestQuota = max(quotaStrengths) + bestCands = [c for c in unelectedCands if quotaStrengths[c] == bestQuota] + if len(bestCands) == 1: + return bestCands[0] + scores = [ + sum(ballot[c] * ballot.weight for ballot in ballots) + if c in bestCands + else -1 + for c in range(ncand) + ] + return scores.index(max(scores)) + + +class SSS(AllocatedScore): + """ + Sequentially Spent Score + >>> SSS.winnerSet([[5,4,0]]*5+[[4,5,0]]*4+[[0,1,5]]*5,2) + [1, 2] + >>> SSS.winnerSet([[5,4,0]]*5+[[4,5,0]]*4+[[0,3,5]]*5,2) + [1, 0] + """ + + @classmethod + def reweight(cls, ballots, winner, quota): + winnerTotal = sum(b[winner] * b.weight for b in ballots) + winnerSurplus = max(winnerTotal - quota * cls.topRank, 0) + for ballot in ballots: + ballot.weight *= ( + 1 - (1 - winnerSurplus / winnerTotal) * ballot[winner] / cls.topRank + ) + + +class S5H(SSS): + """ + Sequentially Spent Score with sorted surplus handling + >>> S5H.winnerSet([[5,4,0]]*5+[[4,5,0]]*4+[[0,3,5]]*5,2) + [1, 2] + """ + + @classmethod + def reweight(cls, ballots, winner, quota): + """Reweights the inputted (weighted) ballots based on how they voted for winner""" + totalSupport = 0 + score = cls.topRank + 1 + scoreSupport = 0 + while totalSupport < quota * cls.topRank and score > 1: + score -= 1 + for ballot in ballots: + if ballot[winner] == score: + scoreSupport += score * ballot.weight + totalSupport += scoreSupport + surplusFraction = ( + max((totalSupport - quota * cls.topRank) / scoreSupport, 0) + if scoreSupport + else 0 + ) + for ballot in ballots: + if ballot[winner] > score: + ballot.weight *= 1 - ballot[winner] / cls.topRank + elif ballot[winner] == score: + ballot.weight *= ( + 1 - (1 - surplusFraction) * ballot[winner] / cls.topRank + ) + + +class S5HRunoffs(S5H): + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + return ASRunoffs.pickWinner(ballots, unelectedCands, quota, numWinners) + + +class SSSRunoffs(SSS): + @classmethod + def pickWinner(cls, ballots, unelectedCands, quota, numWinners): + return ASRunoffs.pickWinner(ballots, unelectedCands, quota, numWinners) + + +class S5HRDroop(S5HRunoffs): + methodQuota = staticmethod(droop) + + +class TEA(AllocatedScore): + """Threshold Equal Approvals""" + + @classmethod + def winnerSet(cls, ballots, numWinners): + threshold = cls.topRank + numCands = len(ballots[0]) + quota = cls.methodQuota(len(ballots), numWinners) + wBallots = [weightedBallot(b) for b in ballots] + unelectedCands = list(range(numCands)) + winners = [] + while threshold > 0 and len(winners) < numWinners: + approvalCounts = [ + sum( + ballot.weight if ballot[i] >= threshold else 0 + for ballot in wBallots + ) + if i in unelectedCands + else -1 + for i in range(numCands) + ] + if any(c >= quota for c in approvalCounts): + costs = [2] * numCands + for cand in unelectedCands: + if approvalCounts[cand] >= quota: + sortedWeights = sorted( + b.weight + for b in wBallots + if b[cand] >= threshold and b.weight > 0 + ) + weightSum = 0 + for i, w in enumerate(sortedWeights): + if ( + weightSum + w * (len(sortedWeights) - i) >= quota + or w == sortedWeights[-1] + ): + costs[cand] = (quota - weightSum) / ( + len(sortedWeights) - i + ) + break + else: + weightSum += w + winnerCost = min(costs) + winner = costs.index(winnerCost) + if winner not in unelectedCands: + print(costs, approvalCounts) + for b in wBallots: + if b[winner] >= threshold: + b.weight = max(b.weight - winnerCost, 0) + unelectedCands.remove(winner) + winners.append(winner) + else: + threshold -= 1 + # print(threshold, winners, [b.weight for b in wBallots]) + while len(winners) < numWinners: + approvalCounts = [ + sum(ballot.weight if ballot[i] > 0 else 0 for ballot in wBallots) + if i in unelectedCands + else -1 + for i in range(numCands) + ] + winner = approvalCounts.index(max(approvalCounts)) + unelectedCands.remove(winner) + for b in wBallots: + if b[winner] > 0: + b.weight = 0 + winners.append(winner) + # print(threshold, winners, [b.weight for b in wBallots]) + return winners + + +class STV(Irv): + """Weighted inclusive Gregory method (I think) with the Droop quota + >>> STV.winnerSet([[0,1,2,3,4,5,6]]*40+[[6,5,4,3,2,1,0]]*10, 4) + [6, 5, 4, 0] + >>> STV.winnerSet([[3,2,1,0]]*10+[[0,2,1,3]]*10+[[0,2,3,1]]*12, 2) + [2, 3] + """ + + @classmethod + def winnerSet(cls, ballots, numWinners): + quota = int(len(ballots) / (numWinners + 1) + 1) + winners = [] + nCands = len(ballots[0]) + candsLeft = set(range(nCands)) + wBallots = [weightedBallot(b) for b in ballots] + ballotsToSort = wBallots + piles = [[] for _ in range(nCands)] + while len(winners) + len(candsLeft) > numWinners: + cls.resort(ballotsToSort, candsLeft, piles) + if newWinners := [ + c for c in candsLeft if sum(b.weight for b in piles[c]) >= quota + ]: + ballotsToSort = [] + winners.extend(newWinners) + for w in newWinners: + totalVotes = sum(b.weight for b in piles[w]) + reweight = (totalVotes - quota) / totalVotes + for b in piles[w]: + b.weight *= reweight + candsLeft.remove(w) + ballotsToSort.extend(piles[w]) + else: + loser, loserVotes = None, float("inf") + for cand in candsLeft: # determine who gets eliminated + if sum(b.weight for b in piles[cand]) < loserVotes: + loser = cand + loserVotes = sum(b.weight for b in piles[cand]) + candsLeft.remove(loser) + ballotsToSort = piles[loser] + winners.extend(iter(candsLeft)) + return winners + + +class MinimaxSTV(STV): + """ + Uses STV to elect all but the last winner. Uses minimax (with eliminated candidates readded) in the final round. + Uses plain minimax(margins) instead of Smith//minimax due to laziness + >>> MinimaxSTV.winnerSet([[0,1,2,3]]*5+[[2,1,0,3]]*6+[[0,2,1,3]]*2,2) + [3, 1] + """ + + @classmethod + def winnerSet(cls, ballots, numWinners): + quota = int(len(ballots) / (numWinners + 1) + 1) + winners = [] + nCands = len(ballots[0]) + candsLeft = set(range(nCands)) + wBallots = [weightedBallot(b) for b in ballots] + ballotsToSort = wBallots + piles = [[] for _ in range(nCands)] + while ( + len(winners) < numWinners - 1 + and len(winners) + len(candsLeft) > numWinners - 1 + ): + cls.resort(ballotsToSort, candsLeft, piles) + if newWinners := [ + c for c in candsLeft if sum(b.weight for b in piles[c]) >= quota + ][: max(0, numWinners - len(winners) - 1)]: + ballotsToSort = [] + winners.extend(newWinners) + for w in newWinners: + totalVotes = sum(b.weight for b in piles[w]) + reweight = (totalVotes - quota) / totalVotes + for b in piles[w]: + b.weight *= reweight + candsLeft.remove(w) + ballotsToSort.extend(piles[w]) + else: + loser, loserVotes = None, float("inf") + for cand in candsLeft: # determine who gets eliminated + if sum(b.weight for b in piles[cand]) < loserVotes: + loser = cand + loserVotes = sum(b.weight for b in piles[cand]) + candsLeft.remove(loser) + ballotsToSort = piles[loser] + if len(winners) < numWinners - 1: + winners.extend(iter(candsLeft)) + # Minimax step + compMatrix = [ + [ + float("inf") + if i in winners or j in winners + else sum(b.weight * sign(b[i] - b[j]) for b in wBallots) + for j in range(nCands) + ] + for i in range(nCands) + ] + best = float("-inf") + for i, row in enumerate(compMatrix): + if i not in winners and min(row) > best: + best = min(row) + finalWinner = i + winners.append(finalWinner) + return winners + + +def assignBallot(ballot, candsLeft): + activeScore = max(ballot[i] for i in candsLeft) + if activeScore == 0: + return set() + else: + return {i for i in candsLeft if ballot[i] == activeScore} + + +class S5HtoSTV(S5H): + """Uses S5H for as long as a Droop quota can be filled, then switches to STV""" + + methodQuota = staticmethod(droop) + + @classmethod + def winnerSet(cls, ballots, numWinners): + """ + >>> S5HtoSTV.winnerSet([[0,1,2]]*5+[[2,1,0]]*4+[[0,2,1]]*2,2) + [2, 0] + >>> S5HtoSTV.winnerSet([[0,1,5]]*5+[[5,1,0]]*4+[[0,5,1]]*2,2) + [2, 0] + >>> S5HtoSTV.winnerSet([[0,4,5]]*5+[[5,4,0]]*4+[[0,5,4]]*2,2) + [1, 2] + """ + quota = cls.methodQuota(len(ballots), numWinners) + wBallots = [weightedBallot(b) for b in ballots] + winners = [] + unelectedCands = list(range(len(ballots[0]))) + while any( + sum(b[i] * b.weight for b in wBallots) >= quota * cls.topRank + for i in unelectedCands + ): + winner = cls.oneS5HRound(wBallots, unelectedCands, quota, numWinners) + winners.append(winner) + unelectedCands.remove(winner) + if len(winners) < numWinners: + cls.useSTV(wBallots, numWinners, winners, quota, True) + return winners + + @classmethod + def oneS5HRound(cls, ballots, unelectedCands, quota, numWinners): + winner = S5H.pickWinner(ballots, unelectedCands, quota, numWinners) + S5H.reweight(ballots, winner, quota) + return winner + + @classmethod + def useSTV(cls, wBallots, numWinners, winners, quota, useForLastRound): + numToElect = numWinners if useForLastRound else numWinners - 1 + nCands = len(wBallots[0]) + candsLeft = {i for i in range(nCands) if i not in winners} + assignedBallots = [[b, assignBallot(b, candsLeft)] for b in wBallots] + while len(winners) < numToElect and len(winners) + len(candsLeft) > numToElect: + candTotals = [ + sum( + b.weight / len(topCands) + for b, topCands in assignedBallots + if cand in topCands + ) + if cand in candsLeft + else -1 + for cand in range(nCands) + ] + if max(candTotals) >= quota: + winner = candTotals.index(max(candTotals)) + weightFactor = (candTotals[winner] - quota) / candTotals[winner] + winners.append(winner) + candsLeft.remove(winner) + for b, topCands in assignedBallots: + if winner in topCands: + b.weight *= weightFactor + topCands.remove(winner) + if len(topCands) == 0: + topCands.update(assignBallot(b, candsLeft)) + else: + loser = candTotals.index(min(t for t in candTotals if t != -1)) + candsLeft.remove(loser) + for b, topCands in assignedBallots: + if loser in topCands: + topCands.remove(loser) + if len(topCands) == 0: + topCands.update(assignBallot(b, candsLeft)) + if len(winners) < numToElect: + for c in candsLeft: + winners.append(c) diff --git a/mwvse.py b/mwvse.py new file mode 100644 index 0000000..a80d8b1 --- /dev/null +++ b/mwvse.py @@ -0,0 +1,626 @@ +import math +import functools +from numpy.core.fromnumeric import mean, std +from numpy.lib.function_base import median + +from vse import * +from mwmethods import * +from methods import * +from stratFunctions import * +from voterModels import * + + +class ThreeRoundResults: + @autoassign + def __init__( + self, + method, + voters, + backgroundStrat, + foregrounds=None, + bgArgs=None, + r1Media=noisyMedia, + r2Media=noisyMedia, + pickiness=0.3, + pollingError=0.2, + pollingMethod=Approval, + pollingStrat=None, + pollingStratArgs=None, + reportRound0=False, + numWinners=1, + ): + """ + Performs three elections: a single approval voting contest in which everyone + votes honestly to give an intentionally crude estimate of electability + (which is filtered by r1Media), + then an election using no information beyond the first round of "polling" in which all voters + use backgroundStrat, and a third round which may use the results of both the prior rounds. + The third round is repeated for each choice of foreground. + A foreground is a (foregroundStrat, targetSelectionFunction, foregroundSelectionFunction, fgArgs) tuple + where targetSelectionFunction receives the input of (electabilities, media(round1Results)) and + returns (candToHelp, candToHurt). + foregroundSelectionFunction receives the input of + (voter, candToHelp, candToHurt, electabilities, r2Media(round1Results)) and returns a positive float + representing the voter's eagerness to be strategic if the voter will be part of the strategic foreground + and 0 if the voter will just use backgroundStrat. + foregroundSelectionFunction and fgArgs are optional in each tuple. + bgArgs and fgArgs are both dictionaries containing additional keyword arguments for strategies. + pollingError and r2PollingError are the margins of error (2-sigma) for the polls. + """ + if foregrounds is None: + foregrounds = [] + if bgArgs is None: + bgArgs = {} + if pollingStratArgs is None: + pollingStratArgs = {} + self.configureInputs() + self.numCands = len(self.voters[0]) + self.round0() + self.electabilities = tuple(r1Media(self.r0Results, self.pollingError)) + # The place of the first-place candidate is 1, etc. + self.r0Places = [ + sorted(self.r0Results, reverse=True).index(result) + 1 + for result in self.r0Results + ] + self.backgroundBallots = [ + useStrat( + voter, + self.backgroundStrat, + electabilities=self.electabilities, + **self.bgArgs, + ) + for voter in self.voters + ] + self.round1() + + self.totalUtils = self.voters.socUtils + self.winProbs = pollsToProbs(self.r0Results, max(self.pollingError, 0.05)) + + self.constResults = dict( + method=self.method.__name__, + electorate=self.voters.id, + backgroundStrat=self.backgroundStrat.__name__, + numVoters=len(self.voters), + bgArgs=self.bgArgs, + numCandidates=self.numCands, + ) + + self.addConstResults() + self.allResults = [] + if self.reportRound0: + self.addRound0Results() + self.addRound1Results() + for foregroundStrat, targetSelect, foregroundSelect, fgArgs in self.foregrounds: + self.foregroundStrat, self.targetSelect, self.fgArgs = ( + foregroundStrat, + targetSelect, + fgArgs, + ) + polls = self.setR2Polls() + candToHelp, candToHurt = targetSelect( + electabilities=self.electabilities, + polls=polls, + r0polls=self.electabilities, + ) + pollOrder = [ + cand for cand, poll in sorted(enumerate(polls), key=lambda x: -x[1]) + ] + self.foreground = [] # (voter, ballot, eagernessToStrategize) tuples + permbgBallots = [] + for id, voter in enumerate(voters): + eagerness = foregroundSelect( + voter, + candToHelp=candToHelp, + candToHurt=candToHurt, + electabilities=self.electabilities, + polls=polls, + ) + if eagerness > 0: + self.foreground.append( + ( + voter, + useStrat( + voter, + foregroundStrat, + polls=polls, + electabilities=self.electabilities, + candToHelp=candToHelp, + candToHurt=candToHurt, + **fgArgs, + ), + eagerness, + ) + ) + else: + permbgBallots.append(self.backgroundBallots[id]) + + # Everything below this just analyzes the result of the final round of voting + self.foreground.sort( + key=lambda v: -v[2] + ) # from most to least eager to use strategy + self.fgSize = len(self.foreground) + fgBallots = [ballot for _, ballot, _ in self.foreground] + fgBaselineBallots = [ + useStrat( + voter, + self.backgroundStrat, + electabilities=self.electabilities, + **bgArgs, + ) + for voter, _, _ in self.foreground + ] + self.ballots = fgBallots + permbgBallots + self.round2() + + # foregroundBaseUtil = sum(voter[r1Winner] for voter, _, _ in foreground)/fgSize if fgSize else 0 + # foregroundStratUtil = sum(voter[winner] for voter, _, _ in foreground)/fgSize if fgSize else 0 + + if ( + self.fgSize + ): # If not I should be quitting earlier than this but easier to just fake it. + self.lastVoter = self.foreground[self.fgSize - 1][0] + else: # zero-sized foreground + self.lastVoter = [0.0] * len(self.r1Results) + self.initWinnerLoop() + i = 1 + while i < len(self.winnersFound): + self.thisWinner = self.winnersFound[i][0] + self.threshold = self.stratThresholdSearch( + method, + self.thisWinner, + self.winnersFound[i][1], + permbgBallots, + fgBallots, + fgBaselineBallots, + self.winnersFound, + ) + minfg = [voter for voter, _, _ in foreground][:threshold] + self.prevWinner = self.winnerFunc( + permbgBallots + + fgBallots[: threshold - 1] + + fgBaselineBallots[threshold - 1 :] + ) + if self.thisWinner == self.winner: + prefix = "min" + elif self.r1Winner == self.prevWinner: + prefix = "t1" + else: + prefix = "o" # +str(i) + self.partialResults.update( + self.makePartialResults(minfg, self.winner, self.r1Winner, prefix) + ) + self.deciderUtils = self.foreground[self.threshold][ + 0 + ] # The deciding voter + if ( + self.threshold == 0 + ): # this shouldn't actually matter as we'll end up ignoring it anyway + # , so having the wrong utilities would be OK. But let's get it right. + self.predeciderUtils = [0.0] * len(self.r1Results) + else: + self.predeciderUtils = self.foreground[self.threshold - 1][ + 0 + ] # The one before the deciding voter + self.winnerLoopStats() + i += 1 + + self.finalStats() + + def configureInputs(self): + if isinstance(self.backgroundStrat, str): + self.backgroundStrat = getattr(self.method, self.backgroundStrat) + if isinstance(self.foregrounds, tuple): + self.foregrounds = [self.foregrounds] + for i, f in enumerate(self.foregrounds): + # use defaults for foreground and target selection + if not isinstance(f, tuple): + self.foregrounds[i] = (f, selectRand, wantToHelp, {}) + elif len(f) == 2: + if isinstance(f[1], dict): + self.foregrounds[i] = (f[0], selectRand, wantToHelp, f[1]) + else: + self.foregrounds[i] = (f[0], f[1], wantToHelp, {}) + elif len(f) == 3: + if isinstance(f[2], dict): + self.foregrounds[i] = (f[0], f[1], wantToHelp, f[2]) + else: + self.foregrounds[i] = (f[0], f[1], f[2], {}) + if self.pollingStrat is None: + self.pollingStrat = Approval.zeroInfoBallot + self.pollingStratArgs = {"pickiness": self.pickiness} + + def round0(self): + self.r0Results = self.pollingMethod.results( + [ + useStrat(voter, self.pollingStrat, **self.pollingStratArgs) + for voter in self.voters + ] + ) + self.r0Winner = self.pollingMethod.winner(self.r0Results) + + def round1(self): + self.r1Results = self.method.results(self.backgroundBallots) + self.r1Winner = self.method.winner(self.r1Results) + self.r1Places = [ + sorted(self.r1Results, reverse=True).index(result) + 1 + for result in self.r1Results + ] + + def addConstResults(self): + self.constResults.update( + dict( + magicBestUtil=max(self.totalUtils), + magicWorstUtil=min(self.totalUtils), + meanCandidateUtil=mean(self.totalUtils), + r0ExpectedUtil=sum( + p * u for p, u in zip(self.winProbs, self.totalUtils) + ), # could use electabilities instead + r0WinnerUtil=self.totalUtils[self.r0Winner], + r1WinProb=self.winProbs[self.r1Winner], + r1WinnerUtil=self.totalUtils[self.r1Winner], + ) + ) + + def addRound0Results(self): + r = self.makeResults( + results=self.r0Results, + totalUtil=self.totalUtils[r0Winner], + probOfWin=self.winProbs[r0Winner], + **self.constResults, + ) + r["method"] = f"{self.pollingMethod.__name__}Poll" + self.allResults.append(r) + + def addRound1Results(self): + self.allResults.append( + self.makeResults( + results=self.r1Results, + totalUtil=self.totalUtils[self.r1Winner], + probOfWin=self.winProbs[self.r1Winner], + winnerPlaceInR0=self.r0Places[self.r1Winner], + **self.constResults, + ) + ) + + def setR2Polls(self): + return tuple(self.r2Media(self.r1Results, self.pollingError)) + + def round2(self): + self.results = self.method.results(self.ballots) + self.winner = self.method.winner(self.results) + + def initWinnerLoop(self): + self.totalUtil = self.voters.socUtils[self.winner] + self.fgHelped = [] + self.fgHarmed = [] + self.winnersFound = [(self.r1Winner, 0)] + self.partialResults = self.constResults.copy() + if self.winner != self.r1Winner: + self.winnersFound.append((self.winner, self.fgSize - 1)) + self.deciderMargUtilDiffs = [] + self.deciderUtilDiffs = [ + ( + self.lastVoter[self.winner] - self.lastVoter[self.r1Winner], + nan, + self.fgSize, + ) + ] + self.allUtilDiffs = [ + ( + [ + voter[0][self.winner] - voter[0][self.r1Winner] + for voter in self.foreground + ], + self.fgSize, + ) + ] + + def stratThresholdSearch( + self, + targetWinner, + foundAt, + bgBallots, + fgBallots, + fgBaselineBallots, + winnersFound, + ): + """Returns the minimum number of strategist needed to elect targetWinner + and modifies winnersFound to include any additional winners found during the search""" + maxThreshold, minThreshold = foundAt, 0 + while maxThreshold > minThreshold: # binary search for min foreground size + midpoint = int(floor((maxThreshold + minThreshold) / 2)) + midpointBallots = ( + bgBallots + fgBallots[:midpoint] + fgBaselineBallots[midpoint:] + ) + midpointWinner = self.winnerFunc(midpointBallots) + if all(midpointWinner != w for w, _ in winnersFound): + winnersFound.append((midpointWinner, midpoint)) + if midpointWinner == targetWinner: + maxThreshold = midpoint + else: + minThreshold = midpoint + 1 + return maxThreshold + + def winnerFunc(self, ballots): + return self.method.winner(self.method.results(ballots)) + + def resultFunc(self, ballots): + return self.method.results(ballots) + + def winnerLoopStats(self): + self.deciderUtilDiffs.append( + ( + self.predeciderUtils[self.thisWinner] + - self.predeciderUtils[self.r1Winner], + self.deciderUtils[self.thisWinner] - self.deciderUtils[self.r1Winner], + self.threshold, + ) + ) + self.allUtilDiffs.append( + ( + [ + voter[0][self.thisWinner] - voter[0][self.r1Winner] + for voter in self.foreground[: self.threshold + 1] + ], + self.threshold, + ) + ) + self.deciderMargUtilDiffs.append( + ( + self.deciderUtils[self.thisWinner] - self.deciderUtils[self.prevWinner], + self.threshold, + ) + ) + + def finalStats(self): + totalStratUtilDiff = 0 + margStrategicRegret = 0 + avgStrategicRegret = 0 + self.deciderMargUtilDiffs.sort(key=lambda x: x[1]) + self.deciderUtilDiffs = sorted(self.deciderUtilDiffs, key=lambda x: x[2]) + self.allUtilDiffs = sorted(self.allUtilDiffs, key=lambda x: x[1]) + for i in range(len(self.deciderUtilDiffs) - 1): + totalStratUtilDiff += ( + (self.deciderUtilDiffs[i][1] + self.deciderUtilDiffs[i + 1][0]) + / 2 + * ( # Use average over endpoints to interpolate average over range + self.deciderUtilDiffs[i + 1][2] - self.deciderUtilDiffs[i][2] + ) + ) + margStrategicRegret += sum( + self.allUtilDiffs[i + 1][0][ + self.allUtilDiffs[i][1] : self.allUtilDiffs[i + 1][1] + ] + ) + avgStrategicRegret += mean(self.allUtilDiffs[i + 1][0]) * ( + self.allUtilDiffs[i + 1][1] - self.allUtilDiffs[i][1] + ) + self.partialResults["deciderMargUtilDiffs"] = self.deciderMargUtilDiffs + self.partialResults["totalStratUtilDiff"] = totalStratUtilDiff + self.partialResults["margStrategicRegret"] = margStrategicRegret + self.partialResults["avgStrategicRegret"] = avgStrategicRegret + + self.partialResults.update( + self.makePartialResults( + [voter for voter, _, _ in self.foreground], + self.winner, + self.r1Winner, + "", + ) + ) + self.allResults.append( + self.makeResults( + results=self.results, + fgStrat=self.foregroundStrat.__name__, + fgTargets=self.targetSelect.__name__, + fgArgs=self.fgArgs, + winnerPlaceInR0=self.r0Places[self.winner], + winnerPlaceInR1=self.r1Places[self.winner], + probOfWin=self.winProbs[self.winner], + numWinnersFound=len(self.winnersFound), + totalUtil=self.totalUtil, + pivotalUtilDiff=self.deciderMargUtilDiffs[0][0] + if self.deciderMargUtilDiffs + else 0, + deciderUtilDiffSum=sum(uDiff for uDiff, _ in self.deciderMargUtilDiffs), + **self.partialResults, + ) + ) + + def makeResults(self, **kw): + return {c: kw.get(c, None) for c in resultColumns} | kw + + def makePartialResults(self, fgVoters, winner, r1Winner, prefix=""): + fgHelped = [] + fgHarmed = [] + numfg = len(fgVoters) + if winner != r1Winner: + for voter in fgVoters: + if voter[winner] > voter[r1Winner]: + fgHelped.append(voter) + elif voter[winner] < voter[r1Winner]: + fgHarmed.append(voter) + + tempDict = dict( + fgUtil=sum(v[winner] for v in fgVoters) / numfg if numfg else 0, + fgUtilDiff=sum(v[winner] - v[r1Winner] for v in fgVoters) / numfg + if numfg + else 0, + fgSize=numfg, + fgNumHelped=len(fgHelped), + fgHelpedUtil=sum(v[winner] for v in fgHelped), + fgHelpedUtilDiff=sum(v[winner] - v[r1Winner] for v in fgHelped), + fgNumHarmed=len(fgHarmed), + fgHarmedUtil=sum(v[winner] for v in fgHarmed), + fgHarmedUtilDiff=sum(v[winner] - v[r1Winner] for v in fgHarmed), + ) + return {prefix + key: value for key, value in tempDict.items()} + + +@functools.lru_cache(maxsize=3) +def winnerSetSample(numCands, numWinners): + """ + Returns a list of possible winner sets. Is exhaustive if the list would be short, random otherwise. + winnerSetSample(5,2) + [{0, 1}, {0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}] + """ + if math.comb(numCands, numWinners) >= 100: + return [set(random.sample(range(numCands), numWinners)) for _ in range(50)] + winners = list(range(numWinners)) + winnerSets = [set(winners)] + while winners[0] < numCands - numWinners: + for i in range(numWinners - 1, -1, -1): + if winners[i] < numCands - (numWinners - i) and ( + i == numWinners - 1 or winners[i + 1] - winners[i] > 1 + ): + winners[i] += 1 + for j in range(i + 1, numWinners): + winners[j] = winners[i] + j - i + break + winnerSets.append(set(winners)) + return winnerSets + + +mwResultColumns = [ + "method", + "backgroundStrat", + "fgStrat", + "numVoters", + "numCandidates", + "numWinners", + "magicBestUtil", + "magicWorstUtil", + "meanCandidateUtil", + "results", + "bgArgs", + "fgArgs", + "totalUtil", + "deciderUtilDiffs", + "fgTargets", + "numWinnersFound", +] +for stat in ["mean", "max", "median"]: + for columnName in [ + "fgUtil", + "fgUtilDiff", + "fgSize", + "fgNumHelped", + "fgHelpedUtil", + "fgHelpedUtilDiff", + "fgNumHarmed", + "fgHarmedUtil", + "fgHarmedUtilDiff", + "totalUtil", + "deciderUtilDiffs", + "highUtil", + "randUtil", + "pivotalUtilDiff", + "deciderUtilDiffSum", + "deciderMargUtilDiffs", + ]: + resultColumns.append(stat + columnName) + + +class TRRMW(ThreeRoundResults): + def configureInputs(self): + if self.pollingStrat is None: + self.pollingStrat = Plurality.honBallot + super().configureInputs() + + def round1(self): + self.round1Winners = self.method.winnerSet(self.backgroundBallots) + + def addConstResults(self): + self.rwMeanUtil = mean(self.totalUtils) # rw = random winner + possOutcomes = winnerSetSample(self.numCands, self.numWinners) + self.constResults.update( + dict( + randMeanUtil=mean(self.totalUtils), + randBestUtil=mean( + max(v[c] for c in winnerSet) + for winnerSet in possOutcomes + for v in self.voters + ), + randMedianUtil=mean( + median(v[c] for c in winnerSet) + for winnerSet in possOutcomes + for v in self.voters + ), + highMeanUtil=max( + mean(mean(v[c] for c in winnerSet) for v in self.voters) + for winnerSet in possOutcomes + ), + highBestUtil=max( + mean(max(v[c] for c in winnerSet) for v in self.voters) + for winnerSet in possOutcomes + ), + highMedianUtil=max( + mean(median(v[c] for c in winnerSet) for v in self.voters) + for winnerSet in possOutcomes + ), + meanUtil=mean(v[w] for v in self.voters for w in self.round1Winners), + maxUtil=mean( + max(v[w] for w in self.round1Winners) for v in self.voters + ), + medianUtil=mean( + medan(v[w] for w in self.round1Winners) for v in self.voters + ), + ) + ) + + def addRound0Results(self): + pass + + def addRound1Results(self): + pass + + def setR2Polls(self): + return self.round1Winners + + def round2(self): + self.round2Winners = self.method.winnerSet(self.ballots) + + def initWinnerLoop(self): + self.stats = {"mean": mean, "max": max, "median": median} + self.totalUtil = self.voters.socUtils[self.winner] + self.fgHelped = {stat: [] for stat in stats} + self.fgHarmed = {stat: [] for stat in stats} + self.winnersFound = [(set(self.round1Winners), 0)] + self.partialResults = self.constResults.copy() + if set(self.round2Winners) != self(self.round1Winners): + self.winnersFound.append((set(self.round2Winners), self.fgSize - 1)) + self.deciderMargUtilDiffs = {stat: [] for stat in stats} + + def winnerFunc(self, ballots): + return set(self.method.winnerSet(ballots)) + + def winnerLoopStats(self): + for stat in self.stats: + self.deciderMargUtilDiffs.append( + ( + stat(self.deciderUtils[w] for w in self.newWinner) + - stat(self.deciderUtils[w] for w in self.prevWinner), + self.threshold, + ) + ) + + def finalStats(self): + self.deciderMargUtilDiffs.sort(key=lambda x: x[1]) + self.deciderUtilDiffs = sorted(self.deciderUtilDiffs, key=lambda x: x[2]) + self.allUtilDiffs = sorted(self.allUtilDiffs, key=lambda x: x[1]) + self.partialResults["deciderMargUtilDiffs"] = self.deciderMargUtilDiffs + + self.allResults.append( + self.makeResults( + results=self.results, + fgStrat=self.foregroundStrat.__name__, + fgTargets=self.targetSelect.__name__, + fgArgs=self.fgArgs, + numWinnersFound=len(self.winnersFound), + pivotalUtilDiff=self.deciderMargUtilDiffs[0][0] + if self.deciderMargUtilDiffs + else 0, + deciderUtilDiffSum=sum(uDiff for uDiff, _ in self.deciderMargUtilDiffs), + **self.partialResults, + ) + ) diff --git a/mydecorators.py b/mydecorators.py index 121c97b..8d18da9 100644 --- a/mydecorators.py +++ b/mydecorators.py @@ -1,18 +1,25 @@ -from functools import wraps, update_wrapper -from inspect import getargspec, isfunction -from itertools import starmap +import collections +import functools import time +from functools import update_wrapper, wraps +from inspect import getfullargspec, isfunction +from itertools import starmap _missing = object() def decorator(d): "Make function d a decorator: d wraps a function fn." + def _d(fn): return update_wrapper(d(fn), fn) + return _d + + decorator = decorator(decorator)(decorator) + def setdefaultattr(obj, name, value): try: return getattr(obj, name) @@ -20,6 +27,7 @@ def setdefaultattr(obj, name, value): setattr(obj, name, value) return value + @decorator def autoassign(*names, **kwargs): """ @@ -49,42 +57,46 @@ def method(self, foo, bar, baz): ... def method(self, foo, bar, baz): ... """ if kwargs: - exclude, f = set(kwargs['exclude']), None - sieve = lambda l:ifilter(lambda nv: nv[0] not in exclude, l) + exclude, f = set(kwargs["exclude"]), None + sieve = lambda l: ifilter(lambda nv: nv[0] not in exclude, l) elif len(names) == 1 and isfunction(names[0]): f = names[0] - sieve = lambda l:l + sieve = lambda l: l else: names, f = set(names), None sieve = lambda l: [nv for nv in l if nv[0] in names] + def decorator(f): - fargnames, _, _, fdefaults = getargspec(f) + fargnames, _, _, fdefaults, _, _, _ = getfullargspec(f) # Remove self from fargnames and make sure fdefault is a tuple fargnames, fdefaults = fargnames[1:], fdefaults or () defaults = list(sieve(zip(reversed(fargnames), reversed(fdefaults)))) + @wraps(f) def decorated(self, *args, **kwargs): assigned = dict(sieve(zip(fargnames, args))) assigned.update(sieve(kwargs.items())) - for _ in starmap(assigned.setdefault, defaults): pass + for _ in starmap(assigned.setdefault, defaults): + pass self.__dict__.update(assigned) return f(self, *args, **kwargs) + return decorated - return f and decorator(f) or decorator + return f and decorator(f) or decorator -import collections -import functools @decorator class memoized(object): - '''Decorator. Caches a function's return value each time it is called. + """Decorator. Caches a function's return value each time it is called. If called later with the same arguments, the cached value is returned (not reevaluated). - ''' + """ + def __init__(self, func): self.func = func self.cache = {} + def __call__(self, *args): if not isinstance(args, collections.Hashable): # uncacheable. a list, for instance. @@ -95,11 +107,13 @@ def __call__(self, *args): value = self.func(*args) self.cache[args] = value return value + def __repr__(self): - '''Return the function's docstring.''' + """Return the function's docstring.""" return self.func.__doc__ + def __get__(self, obj, objtype): - '''Support instance methods.''' + """Support instance methods.""" return functools.partial(self.__call__, obj) @@ -147,11 +161,11 @@ def __get__(self, obj, type=None): @decorator class curried(object): - ''' + """ Decorator that returns a function that keeps returning functions until all arguments are supplied; then the original function is evaluated. - ''' + """ def __init__(self, func, *a): self.func = func @@ -164,16 +178,24 @@ def __call__(self, *a): else: return self.func(*args) + @decorator def timeit(method): - def timed(*args, **kw): ts = time.time() result = method(*args, **kw) te = time.time() - print('%r (%r, %r) %2.2f sec' % - (method.__name__, args, kw, te-ts)) + print("%r (%r, %r) %2.2f sec" % (method.__name__, args, kw, te - ts)) return result return timed + + +def uniquify(seq): + # order preserving + checked = [] + for e in seq: + if e not in checked: + checked.append(e) + return checked diff --git a/pollPerturb.py b/pollPerturb.py new file mode 100644 index 0000000..64dd639 --- /dev/null +++ b/pollPerturb.py @@ -0,0 +1,80 @@ +from methods import * +from voterModels import * + + +def pollPert( + model, + methodsAndStrats, + nvot, + ncand, + niter, + nwinners=1, + perturbations=None, + pollingMethod=Approval, + pollingStrat=Approval.zeroInfoBallot, + pollingStratArgs=None, +): + if perturbations is None: + perturbations = [-0.2, -0.02, 0.02, 0.2] + if pollingStratArgs is None: + pollingStratArgs = {"pickiness": 0.7} + ms = [] + for m in methodsAndStrats: + if isinstance(m, type): + ms.append((m, m.vaBallot, {})) + elif len(m) == 2: + ms.append((m[0], m[1], {})) + else: + ms.append(m) + totalResults = {p: {m[0].__name__: [0, 0, 0] for m in ms} for p in perturbations} + condResults = {p: {m[0].__name__: [0, 0, 0] for m in ms} for p in perturbations} + nonCondResults = {p: {m[0].__name__: [0, 0, 0] for m in ms} for p in perturbations} + for _ in range(niter): + electorate = model(nvot, ncand) + basePolls = pollingMethod.results([pollingStrat(v) for v in electorate]) + condWinner = ( + None + if Condorcet.scenarioType(electorate) == "cycle" + else Condorcet.winnerSet([Condorcet.honBallot(v) for v in electorate])[0] + ) + for method, strat, stratArgs in ms: + baseWinners = set( + method.winnerSet( + [ + strat(v, polls=basePolls, electabilities=basePolls, **stratArgs) + for v in electorate + ], + numWinners=nwinners, + ) + ) + for pert in perturbations: + for cand in range(ncand): + newPolls = basePolls.copy() + newPolls[cand] = min(1, max(0, newPolls[cand] + pert)) + newWinners = set( + method.winnerSet( + [ + strat( + v, + polls=newPolls, + electabilities=newPolls, + **stratArgs + ) + for v in electorate + ], + numWinners=nwinners, + ) + ) + if newWinners != baseWinners: + if cand in newWinners and cand not in baseWinners: + changeType = 0 + elif cand not in newWinners and cand in baseWinners: + changeType = 1 + else: + changeType = 2 + totalResults[pert][method.__name__][changeType] += 1 + if cand == condWinner: + condResults[pert][method.__name__][changeType] += 1 + else: + nonCondResults[pert][method.__name__][changeType] += 1 + return totalResults, condResults, nonCondResults diff --git a/resultgeneration.ipynb b/resultgeneration.ipynb new file mode 100644 index 0000000..9c002d4 --- /dev/null +++ b/resultgeneration.ipynb @@ -0,0 +1,744 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "bb0ccf1a", + "metadata": {}, + "outputs": [], + "source": [ + "# Install a pip package in the current Jupyter kernel\n", + "import sys" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "64021853", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *\n", + "import random" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "59d53e0c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 300\n", + "Iteration: 350\n", + "Iteration: 400\n", + "Iteration: 1050\n", + "Iteration: 1100\n", + "Iteration: 2050\n", + "Iteration: 2100\n", + "Iteration: 3050\n", + "Iteration: 3100\n", + "Iteration: 600\n", + "Iteration: 650\n", + "Iteration: 700\n", + "Iteration: 1150\n", + "Iteration: 1200\n", + "Iteration: 1250\n", + "Iteration: 2150\n", + "Iteration: 2200\n", + "Iteration: 2250\n", + "Iteration: 3150\n", + "Iteration: 3200\n", + "Iteration: 3250\n", + "Iteration: 150\n", + "Iteration: 200\n", + "Iteration: 250\n", + "Iteration: 1300\n", + "Iteration: 1350\n", + "Iteration: 1400\n", + "Iteration: 2300\n", + "Iteration: 2350\n", + "Iteration: 2400\n", + "Iteration: 3300\n", + "Iteration: 3350\n", + "Iteration: 3400\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 1450\n", + "Iteration: 1500\n", + "Iteration: 1550\n", + "Iteration: 2450\n", + "Iteration: 2500\n", + "Iteration: 2550\n", + "Iteration: 3450\n", + "Iteration: 3500\n", + "Iteration: 3550\n", + "Iteration: 450\n", + "Iteration: 500\n", + "Iteration: 550\n", + "Iteration: 1750\n", + "Iteration: 1800\n", + "Iteration: 1850\n", + "Iteration: 2750\n", + "Iteration: 2800\n", + "Iteration: 2850\n", + "Iteration: 3600\n", + "Iteration: 3650\n", + "Iteration: 3700\n", + "Iteration: 900\n", + "Iteration: 950\n", + "Iteration: 1000\n", + "Iteration: 1600\n", + "Iteration: 1650\n", + "Iteration: 1700\n", + "Iteration: 2600\n", + "Iteration: 2650\n", + "Iteration: 2700\n", + "Iteration: 3750\n", + "Iteration: 3800\n", + "Iteration: 3850\n", + "Iteration: 750\n", + "Iteration: 800\n", + "Iteration: 850\n", + "Iteration: 1900\n", + "Iteration: 1950\n", + "Iteration: 2000\n", + "Iteration: 2900\n", + "Iteration: 2950\n", + "Iteration: 3000\n", + "Iteration: 3900\n", + "Iteration: 3950\n", + "CPU times: user 4.79 s, sys: 753 ms, total: 5.54 s\n", + "Wall time: 10min 36s\n" + ] + } + ], + "source": [ + "%%time\n", + "random.seed(1729)\n", + "noStrats = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (STAR, STAR.honBallot, [], {}),\n", + " (STAR, STAR.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Plurality, Plurality.honBallot, [], {}),\n", + " (Plurality, Plurality.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (PluralityTop2, PluralityTop2.honBallot, [], {}),\n", + " (PluralityTop2, PluralityTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Approval, Approval.honBallot, [], {}),\n", + " (Approval, Approval.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (ApprovalTop2, ApprovalTop2.honBallot, [], {}),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Irv, Irv.honBallot, [], {}),\n", + " (Irv, Irv.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Minimax, Minimax.honBallot, [], {}),\n", + " (Minimax, Minimax.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " ],\n", + " nvot=1001,\n", + " ncand=6,\n", + " niter=4000,\n", + " pickiness=0.7,\n", + " pollingError=0.1,\n", + ")\n", + "noStrats.saveFile(\"nostrats\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "57c4148f", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=1001,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"bullets\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4956ed04", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " RandomModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"9random\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cea6e582", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " DimModel(2),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"2d\")\n", + "basic = CsvBatch(\n", + " DimModel(3),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"3d\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a42fbe2d", + "metadata": {}, + "outputs": [], + "source": [ + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=3,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"3cand\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=8,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"8cand\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.0,\n", + " pollingError=0.4,\n", + ")\n", + "basic.saveFile(\"0picky\")\n", + "basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=3,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.1,\n", + ")\n", + "basic.saveFile(\"01MOE\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "90cc36d9", + "metadata": {}, + "outputs": [], + "source": [ + "manyMethods = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " Plurality,\n", + " PluralityTop2,\n", + " Approval,\n", + " ApprovalTop2,\n", + " STAR,\n", + " Score,\n", + " Borda,\n", + " Irv,\n", + " Minimax,\n", + " Rp,\n", + " Schulze,\n", + " Raynaud,\n", + " SmithIRV,\n", + " ],\n", + " nvot=51,\n", + " ncand=5,\n", + " niter=3000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "manyMethods.saveFile(\"manymethods\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ef0bee3f", + "metadata": {}, + "outputs": [], + "source": [ + "STARinputs = []\n", + "STARfgs = []\n", + "for targetFunc in [select21, select31, selectRand, select012]:\n", + " STARfgs.extend(\n", + " [(STAR.diehardBallot, targetFunc, {\"intensity\": i}) for i in STAR.diehardLevels]\n", + " + [(STAR.compBallot, targetFunc, {\"intensity\": i}) for i in STAR.compLevels]\n", + " )\n", + " STARfgs.append((STAR.vaBallot, targetFunc, {\"info\": \"e\"}))\n", + " STARfgs.append((STAR.vaBallot, targetFunc, {\"info\": \"p\"}))\n", + " STARfgs.append((STAR.bulletBallot, targetFunc))\n", + "for bg in [STAR.honBallot, STAR.vaBallot, STAR.bulletBallot]:\n", + " STARinputs.append((STAR, bg, STARfgs, {\"pollingUncertainty\": 0.4}))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5b60bc4f", + "metadata": {}, + "outputs": [], + "source": [ + "bulletSTAR = CsvBatch(\n", + " KSModel(), STARinputs, nvot=31, ncand=6, niter=500, pickiness=0.7, pollingError=0.15\n", + ")\n", + "bulletSTAR.saveFile(\"bulletSTAR\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8553576e", + "metadata": {}, + "outputs": [], + "source": [ + "STARinputs2 = []\n", + "STARfgs2 = []\n", + "for scoreWeight in [0.02 * N for N in range(20)]:\n", + " STARfgs2.append(\n", + " (\n", + " STAR.vaBallot,\n", + " selectRand,\n", + " {\"info\": \"e\", \"scoreImportance\": scoreWeight, \"pollingUncertainty\": 0.3},\n", + " )\n", + " )\n", + "for bg in [STAR.honBallot, STAR.vaBallot]:\n", + " STARinputs2.append((STAR, bg, STARfgs2, {\"pollingUncertainty\": 0.3}))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0f0219dd", + "metadata": {}, + "outputs": [], + "source": [ + "starCalib = CsvBatch(\n", + " KSModel(),\n", + " STARinputs2,\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=10000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "starCalib.saveFile(\"STARcalib\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8ec43dda", + "metadata": {}, + "outputs": [], + "source": [ + "STARinputs3 = []\n", + "STARfgs3 = []\n", + "for uncertainty in [0.02 * N for N in range(3, 25)]:\n", + " STARfgs3.append(\n", + " (\n", + " STAR.vaBallot,\n", + " selectRand,\n", + " {\"info\": \"e\", \"scoreImportance\": 0.3, \"pollingUncertainty\": uncertainty},\n", + " )\n", + " )\n", + "for bg in [STAR.honBallot, STAR.vaBallot]:\n", + " STARinputs3.append((STAR, bg, STARfgs3, {\"pollingUncertainty\": 0.3}))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "66de16d2", + "metadata": {}, + "outputs": [], + "source": [ + "starCalib2 = CsvBatch(\n", + " KSModel(),\n", + " STARinputs3,\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=10000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "starCalib2.saveFile(\"STARcalibU\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a31bd2a8", + "metadata": {}, + "outputs": [], + "source": [ + "starCalib.rows[5]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e157e15e", + "metadata": {}, + "outputs": [], + "source": [ + "star0ifgs = [\n", + " (STAR.zeroInfoBallot, selectRand, {\"exponent\": 1 + i / 10, \"bottomSD\": j})\n", + " for i in range(10)\n", + " for j in [2, 1.5, 1, 0.5, 0]\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "48d84405", + "metadata": {}, + "outputs": [], + "source": [ + "star0i = CsvBatch(\n", + " KSModel(),\n", + " [(STAR, STAR.honBallot, star0ifgs, {})],\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=50000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "star0i.saveFile(\"STAR0i\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "789a7ee0", + "metadata": {}, + "outputs": [], + "source": [ + "starBG = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (STAR, STAR.honBallot, [], {}),\n", + " (STAR, STAR.vaBallot, [], {}),\n", + " (STAR, STAR.zeroInfoBallot, [], {}),\n", + " ],\n", + " nvot=21,\n", + " ncand=6,\n", + " niter=5000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "starBG.saveFile(\"STARbg\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8cb59dda", + "metadata": {}, + "outputs": [], + "source": [ + "deciderStrat = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.4,\n", + ")\n", + "deciderStrat.saveFile(\"dstrat\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "037af90a", + "metadata": {}, + "outputs": [], + "source": [ + "deciderStrat.rows[15]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a1fd8da9", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "ms = [STAR, Score, Approval, ApprovalTop2, Irv, Minimax]\n", + "bulletResults = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (\n", + " method,\n", + " hybridStrat,\n", + " [],\n", + " {\n", + " \"stratTuples\": (\n", + " (method.bulletBallot, i / 10),\n", + " (method.honBallot, 1 - i / 10),\n", + " )\n", + " },\n", + " )\n", + " for method in ms\n", + " for i in range(11)\n", + " ]\n", + " + [\n", + " (\n", + " method,\n", + " hybridStrat,\n", + " [],\n", + " {\n", + " \"stratTuples\": (\n", + " (method.bulletBallot, i / 10),\n", + " (method.vaBallot, 1 - i / 10),\n", + " ),\n", + " \"pollingUncertainty\": 0.4,\n", + " },\n", + " )\n", + " for method in ms\n", + " for i in range(11)\n", + " ],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=2000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5dffce7c", + "metadata": {}, + "outputs": [], + "source": [ + "bulletResults.saveFile(\"bulletresults\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2019d1a", + "metadata": {}, + "outputs": [], + "source": [ + "pollingError = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax, Borda],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=1000,\n", + " pickiness=0.7,\n", + " pollingError=0.2,\n", + ")\n", + "pollingError.saveFile(\"pollingerror\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "877b0632", + "metadata": {}, + "outputs": [], + "source": [ + "pollingError.rows[1000]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b290fb6f", + "metadata": {}, + "outputs": [], + "source": [ + "abstentions = CsvBatch(\n", + " KSModel(),\n", + " [Plurality, Approval, ApprovalTop2, STAR, Score, Borda, Irv, Minimax],\n", + " nvot=51,\n", + " ncand=6,\n", + " niter=500,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "abstentions.saveFile(\"abstentions\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7eefe6a0", + "metadata": {}, + "outputs": [], + "source": [ + "condorcetResults = CsvBatch(\n", + " KSModel(),\n", + " [Irv, Minimax, Rp, Schulze, Raynaud, SmithIRV, Sass],\n", + " nvot=51,\n", + " ncand=7,\n", + " niter=2000,\n", + " pickiness=0.7,\n", + " pollingError=0.15,\n", + ")\n", + "condorcetResults.saveFile(\"condorcet\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "77beb6ff", + "metadata": {}, + "outputs": [], + "source": [ + "condorcetGoodPolls = CsvBatch(\n", + " KSModel(),\n", + " [Irv, Minimax, Rp, Schulze, Raynaud, SmithIRV, Sass],\n", + " nvot=51,\n", + " ncand=7,\n", + " niter=2000,\n", + " pickiness=0.2,\n", + " pollingError=0.05,\n", + ")\n", + "condorcetGoodPolls.saveFile(\"condorcetlowerror\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4e5b0e07", + "metadata": {}, + "outputs": [], + "source": [ + "honInputs = [\n", + " (m, m.honBallot, [], {})\n", + " for m in [\n", + " Plurality,\n", + " PluralityTop2,\n", + " Approval,\n", + " ApprovalTop2,\n", + " STAR,\n", + " Score,\n", + " Borda,\n", + " Irv,\n", + " Minimax,\n", + " Rp,\n", + " Schulze,\n", + " Raynaud,\n", + " SmithIRV,\n", + " SmithScore,\n", + " RankedRobin,\n", + " ITRV,\n", + " SmithITRV,\n", + " ]\n", + "]\n", + "honOnly = CsvBatch(KSModel(), honInputs, nvot=51, ncand=7, niter=30000)\n", + "honOnly.saveFile(\"honest\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "82530d5b", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "len(honOnly.rows)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "868a7aef", + "metadata": {}, + "outputs": [], + "source": [ + "bulletInputs = [\n", + " (m, m.realisticBullets, [], {})\n", + " for m in [Plurality, PluralityTop2, Approval, ApprovalTop2, STAR, Irv, Minimax]\n", + "]\n", + "realBullets = CsvBatch(KSModel(), bulletInputs, nvot=51, ncand=6, niter=30000)\n", + "realBullets.saveFile(\"realbullets\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fa98caaf", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/run sims for paper.ipynb b/run sims for paper.ipynb new file mode 100644 index 0000000..a5bb96a --- /dev/null +++ b/run sims for paper.ipynb @@ -0,0 +1,844 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 8, + "id": "74b51e60", + "metadata": {}, + "outputs": [], + "source": [ + "from vse import *\n", + "import random\n", + "import datetime\n", + "\n", + "\n", + "base_nvot = 101\n", + "base_ncand = 6\n", + "base_inner_niter = 200\n", + "base_pickiness = 0.7\n", + "base_pollingError = 0.1\n", + "base_outer_niter = 20\n", + "main_outer_niter = 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "210e9520", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ad3c82ec", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(main_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/base_scenario\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9fe17e43", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ab579039", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " RandomModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/impartial_culture\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6e1f5bd5", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=2, dimWeights=[1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/2d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c4c0fe26", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " DimModel(ndims=3, dimWeights=[1, 1, 1]),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/3d_model\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75d9e9b4", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=3,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/3cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a61bbadd", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=9,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/9cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "abcf0f64", + "metadata": {}, + "outputs": [], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=12,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/12cand\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "65a8c815", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 200 2022-12-20 21:16:46.999315))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 400 2022-12-20 21:18:11.665096))\n", + "Iteration: 50\n", + "((Generated 600 2022-12-20 21:19:32.762593))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 800 2022-12-20 21:20:56.687507))\n", + "Iteration: 100\n", + "((Generated 1000 2022-12-20 21:22:27.779802))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 1200 2022-12-20 21:23:53.600560))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 1400 2022-12-20 21:25:16.411952))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 1600 2022-12-20 21:26:38.183564))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 1800 2022-12-20 21:27:58.673004))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 2000 2022-12-20 21:29:17.491845))\n", + "Iteration: 50\n", + "((Generated 2200 2022-12-20 21:30:38.699351))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 2400 2022-12-20 21:31:59.594445))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 2600 2022-12-20 21:33:20.504796))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 2800 2022-12-20 21:34:39.180752))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 3000 2022-12-20 21:36:01.802639))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 3200 2022-12-20 21:37:21.801832))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 3400 2022-12-20 21:38:41.968259))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 3600 2022-12-20 21:40:02.480055))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 3800 2022-12-20 21:41:22.720532))\n", + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 4000 2022-12-20 21:42:42.839839))\n" + ] + } + ], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=0.99,\n", + " pollingError=base_pollingError,\n", + " )\n", + " basic.saveFile(\"output/plurality_picky\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)} {datetime.datetime.now()}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "b3e3b750", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 200))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 400))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n", + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 600))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 800))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 1000))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 1200))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 1400))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 1600))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 1800))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 2000))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 2200))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 2400))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 2600))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n", + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 2800))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 3000))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 3200))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 3400))\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n", + "/Users/chema/github/vse-sim/dataClasses.py:421: RuntimeWarning: invalid value encountered in true_divide\n", + " probs = probs / np.sum(probs)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 3600))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 3800))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 4000))\n" + ] + } + ], + "source": [ + "for i in range(base_outer_niter):\n", + " random.seed(i)\n", + " basic = CsvBatch(\n", + " KSModel(),\n", + " [STAR, Plurality, PluralityTop2, Approval, ApprovalTop2, Irv, Minimax],\n", + " nvot=base_nvot,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=0.0,\n", + " )\n", + " basic.saveFile(\"output/no_noise\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")\n", + " del basic" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "97270ba8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 4200))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 4400))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 4600))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 4800))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 5000))\n", + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 5200))\n", + "((Generated 5400))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 5600))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 5800))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 6000))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 6200))\n", + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 6400))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 6600))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 6800))\n", + "Iteration: 150\n", + "Iteration: 50\n", + "Iteration: 100\n", + "((Generated 7000))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 7200))\n", + "Iteration: 50\n", + "Iteration: 150\n", + "Iteration: 100\n", + "((Generated 7400))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 7600))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 7800))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 8000))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 8200))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 8400))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 8600))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 8800))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 9000))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 9200))\n", + "Iteration: 150\n", + "Iteration: 100\n", + "Iteration: 50\n", + "((Generated 9400))\n", + "Iteration: 100\n", + "Iteration: 150\n", + "Iteration: 50\n", + "((Generated 9600))\n", + "Iteration: 100\n", + "Iteration: 50\n", + "Iteration: 150\n", + "((Generated 9800))\n", + "Iteration: 50\n", + "Iteration: 100\n", + "Iteration: 150\n", + "((Generated 10000))\n", + "CPU times: user 7.35 s, sys: 2.49 s, total: 9.84 s\n", + "Wall time: 1h 21min 53s\n" + ] + } + ], + "source": [ + "%%time\n", + "for i in range(base_outer_niter, main_outer_niter):\n", + " random.seed(i)\n", + " noStrats = CsvBatch(\n", + " KSModel(),\n", + " [\n", + " (STAR, STAR.honBallot, [], {}),\n", + " (STAR, STAR.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Plurality, Plurality.honBallot, [], {}),\n", + " (Plurality, Plurality.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (PluralityTop2, PluralityTop2.honBallot, [], {}),\n", + " (PluralityTop2, PluralityTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Approval, Approval.honBallot, [], {}),\n", + " (Approval, Approval.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (ApprovalTop2, ApprovalTop2.honBallot, [], {}),\n", + " (ApprovalTop2, ApprovalTop2.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Irv, Irv.honBallot, [], {}),\n", + " (Irv, Irv.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " (Minimax, Minimax.honBallot, [], {}),\n", + " (Minimax, Minimax.vaBallot, [], {\"pollingUncertainty\": 0.4}),\n", + " ],\n", + " nvot=5001,\n", + " ncand=base_ncand,\n", + " niter=base_inner_niter,\n", + " pickiness=base_pickiness,\n", + " pollingError=base_pollingError,\n", + " )\n", + " noStrats.saveFile(\"output/nostrats\")\n", + " print(f\"((Generated {base_inner_niter * (i+1)}))\")\n", + "del noStrats" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "8ace3b38", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import gc\n", + "\n", + "gc.collect()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "0959656d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0.29291748003978524, 0.29291748003978524, 0.4141650399204296]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def tieFor2EstimateO(probs):\n", + " \"\"\"Estimates the probability of each candidate being in a tie for second place,\n", + " normalized such that they sum to 1.\n", + " >>> tieFor2Estimate((.49,.49,.02))\n", + " [0.29762918476626044, 0.29762918476626044, 0.404741630467479]\n", + " >>> tieFor2Estimate((.4999999999,.4999999999,.0000000002))\n", + " [0.2928932188619805, 0.2928932188619805, 0.41421356227603895]\n", + " >>> tieFor2Estimate((.99,.005,.005))\n", + " [0.4129948110638391, 0.2935025944680804, 0.2935025944680804]\n", + " \"\"\"\n", + " EXP = 2\n", + " np_probs = np.array(probs)\n", + " np.seterr(divide=\"ignore\")\n", + " logprobs = np.log(np_probs)\n", + " logconv = np.log(1 - np_probs)\n", + " np.seterr(divide=\"warn\")\n", + " logprobs[logprobs == -np.inf] = -1e9\n", + " logconv[logconv == -np.inf] = -1e9\n", + " unnormalized_log = np.array(\n", + " [\n", + " logprobs[i]\n", + " + logconv[i]\n", + " + (\n", + " logsumexp(\n", + " np.array(\n", + " [\n", + " [\n", + " (logprobs[j] + logprobs[k]) * EXP\n", + " for k, z in enumerate(probs)\n", + " if i != k != j\n", + " ]\n", + " for j, y in enumerate(probs)\n", + " if i != j\n", + " ]\n", + " )\n", + " )\n", + " - logsumexp(\n", + " np.array([logprobs[j] * EXP for j, y in enumerate(probs) if i != j])\n", + " )\n", + " )\n", + " / EXP\n", + " for i, x in enumerate(probs)\n", + " ]\n", + " )\n", + " unnormalized = np.exp(unnormalized_log - np.max(unnormalized_log))\n", + " normFactor = sum(unnormalized)\n", + " return [float(u / normFactor) for u in unnormalized]\n", + "\n", + "\n", + "def tieFor2EstimateQ(probs):\n", + " \"\"\"Estimates the probability of each candidate being in a tie for second place,\n", + " normalized such that they sum to 1.\n", + " >>> tieFor2Estimate((.49,.49,.02))\n", + " [0.29762918476626044, 0.29762918476626044, 0.404741630467479]\n", + " >>> tieFor2Estimate((.4999999999,.4999999999,.0000000002))\n", + " [0.2928932188619805, 0.2928932188619805, 0.41421356227603895]\n", + " >>> tieFor2Estimate((.99,.005,.005))\n", + " [0.4129948110638391, 0.2935025944680804, 0.2935025944680804]\n", + " \"\"\"\n", + " EXP = 2\n", + " np_probs = np.array(probs)\n", + " np.seterr(divide=\"ignore\")\n", + " logprobs = np.log(np_probs)\n", + " logconv = np.log(1 - np_probs)\n", + " np.seterr(divide=\"warn\")\n", + " logprobs[logprobs == -np.inf] = -1e9\n", + " logconv[logconv == -np.inf] = -1e9\n", + " unnormalized_log = np.array(\n", + " [\n", + " logprobs[i]\n", + " + logconv[i]\n", + " + (\n", + " logsumexp(\n", + " np.array(\n", + " [\n", + " [\n", + " (\n", + " logprobs[j]\n", + " + logprobs[k]\n", + " - logsumexp(np.delete(logprobs, i))\n", + " )\n", + " * EXP\n", + " for k, z in enumerate(probs)\n", + " if i != k != j\n", + " ]\n", + " for j, y in enumerate(probs)\n", + " if i != j\n", + " ]\n", + " )\n", + " )\n", + " )\n", + " / EXP\n", + " for i, x in enumerate(probs)\n", + " ]\n", + " )\n", + " unnormalized = np.exp(unnormalized_log - np.max(unnormalized_log))\n", + " normFactor = sum(unnormalized)\n", + " return [float(u / normFactor) for u in unnormalized]\n", + "\n", + "\n", + "tieFor2EstimateO([0.4999, 0.4999, 0.000000000000000002])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d7868cc6", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/sodaTest.py b/sodaTest.py index 8725986..bbb3844 100644 --- a/sodaTest.py +++ b/sodaTest.py @@ -3,49 +3,56 @@ import numpy as np import random -#from stackexchange... -def autoargs(*include,**kwargs): +# from stackexchange... +def autoargs(*include, **kwargs): def _autoargs(func): - attrs,varargs,varkw,defaults=inspect.getargspec(func) + attrs, varargs, varkw, defaults = inspect.getargspec(func) + def sieve(attr): - if kwargs and attr in kwargs['exclude']: return False + if kwargs and attr in kwargs["exclude"]: + return False return not include or attr in include @functools.wraps(func) - def wrapper(self,*args,**kwargs): + def wrapper(self, *args, **kwargs): # handle default values if defaults: - for attr,val in zip(reversed(attrs),reversed(defaults)): - if sieve(attr): setattr(self, attr, val) + for attr, val in zip(reversed(attrs), reversed(defaults)): + if sieve(attr): + setattr(self, attr, val) # handle positional arguments - positional_attrs=attrs[1:] - for attr,val in zip(positional_attrs,args): - if sieve(attr): setattr(self, attr, val) + positional_attrs = attrs[1:] + for attr, val in zip(positional_attrs, args): + if sieve(attr): + setattr(self, attr, val) # handle varargs if varargs: - remaining_args=args[len(positional_attrs):] - if sieve(varargs): setattr(self, varargs, remaining_args) + remaining_args = args[len(positional_attrs) :] + if sieve(varargs): + setattr(self, varargs, remaining_args) # handle varkw if kwargs: - for attr,val in list(kwargs.items()): - if sieve(attr): setattr(self,attr,val) - return func(self,*args,**kwargs) + for attr, val in list(kwargs.items()): + if sieve(attr): + setattr(self, attr, val) + return func(self, *args, **kwargs) return wrapper return _autoargs -#Hah: http://www.pydanny.com/cached-property.html + +# Hah: http://www.pydanny.com/cached-property.html class cached_property(object): - """ A property that is only computed once per instance and then replaces - itself with an ordinary attribute. Deleting the attribute resets the - property. + """A property that is only computed once per instance and then replaces + itself with an ordinary attribute. Deleting the attribute resets the + property. - Source: https://github.com/bottlepy/bottle/commit/fa7733e075da0d790d809aa3d2f53071897e6f76 - """ + Source: https://github.com/bottlepy/bottle/commit/fa7733e075da0d790d809aa3d2f53071897e6f76 + """ def __init__(self, func): - self.__doc__ = getattr(func, '__doc__') + self.__doc__ = getattr(func, "__doc__") self.func = func def __get__(self, obj, cls): @@ -55,118 +62,122 @@ def __get__(self, obj, cls): return value - - - - ##actual code DEBUG = True arrayType = type(np.array([1])) -class ElectionCounts(): - + +class ElectionCounts: @autoargs() - def __init__(self, delg, appr, prefs, order, cantWin = [], oldSmith = None): + def __init__(self, delg, appr, prefs, order, cantWin=None, oldSmith=None): """ delg: A list of n delegation counts appr: A list of n approval counts prefs: A list of n preference lists counts order: delegation order """ + if cantWin is None: + cantWin = [] self.n = len(delg) if type(self.appr) != arrayType: self.appr = np.matrix(self.appr) if DEBUG: n = self.n - assert(self.appr.size==n) - assert(len(prefs)==n) + assert self.appr.size == n + assert len(prefs) == n for pref in prefs: - assert(len(pref) == n) + assert len(pref) == n for i in range(n): - assert(i in pref) + assert i in pref noDelg = list(range(n)) for i in order: noDelg.remove(i) for i in noDelg: - assert(delg[i] == 0) - + assert delg[i] == 0 + def __repr__(self): return f"ElectionCounts({self.delg},{self.appr.tolist()[0]},{self.prefs},{self.order})" - + def oneMatrix(self, pref, size=1): n = self.n - mat = np.tril(np.ones((n,n)),-1) * size + mat = np.tril(np.ones((n, n)), -1) * size inverse_pref = np.array(pref) inverse_pref[pref] = range(n) for i in range(n): - mat[:,i] = mat[inverse_pref,i] + mat[:, i] = mat[inverse_pref, i] for i in range(n): - mat[i,:] = mat[i,inverse_pref] + mat[i, :] = mat[i, inverse_pref] return mat - - def appMatrix(self, appr = None): + + def appMatrix(self, appr=None): n = self.n if appr is None: appr = self.appr - return np.matrix(np.ones((n,1))) * appr - - @cached_property + return np.matrix(np.ones((n, 1))) * appr + + @cached_property def matrix(self): mat = self.appMatrix() for i in self.order: mat += self.oneMatrix(self.prefs[i], self.delg[i]) return mat - - def beaters(self, loser, candidates, minwin = [None], rival = [None], private = False): + + def beaters(self, loser, candidates, minwin=None, rival=None, private=False): """a generator which, using the matrix m, gives any members of candidates who loser doesn't majority beat. - + NOTE: THIS MODIFIES candidates AS A SIDE-EFFECT, AND NOTICES IF IT"S MODIFIED BY OTHERS. Also modifies `by` as a side effect """ + if minwin is None: + minwin = [None] + if rival is None: + rival = [None] m = self.matrix best = np.argmax(m[loser]) if private: outer = candidates - candidates = list(candidates) #local copy + candidates = list(candidates) # local copy while len(candidates): c = candidates.pop(0) if private and (c not in outer): continue - if (m[best,loser] > m[c,loser]) and (m[best,c] > m[loser,c]): - #print("a",c,loser) + if (m[best, loser] > m[c, loser]) and (m[best, c] > m[loser, c]): + # print("a",c,loser) if rival[0] is not None: - toWin = max((m[best,loser] - m[c,loser]), (m[best,c] - m[loser,c])) + toWin = max( + (m[best, loser] - m[c, loser]), (m[best, c] - m[loser, c]) + ) if rival[0][0] < toWin: - rival[0] = (toWin,best,loser,c) + rival[0] = (toWin, best, loser, c) if private: outer.remove(c) yield c - elif m[loser,c] >= m[c,loser]: - #print("b",c,loser) + elif m[loser, c] >= m[c, loser]: + # print("b",c,loser) if minwin[0] and minwin[0][0] > m[loser, c]: - minwin[0] = (m[loser,c],loser,c) + minwin[0] = (m[loser, c], loser, c) if private: outer.remove(c) yield c - + def oneWinner(self, m): start = np.argmax(m[0]) theRest = list(range(self.n)) theRest.remove(start) - #print(theRest) + # print(theRest) return self.climbFrom(start, theRest) - + def climbFrom(self, start, theRest): """Find the first leaf in a depth-first search up through theRest starting from start. - + Watch out! Modifies theRest as side effect!""" for c in self.beaters(start, theRest): return self.climbFrom(c, theRest) - #Nobody beats start, so just return. + # Nobody beats start, so just return. return start - - @cached_property + + @cached_property def majSmith(self): m = self.matrix winners = [self.oneWinner(m)] @@ -178,59 +189,79 @@ def majSmith(self): self.minWin = minWin[0] self.rival = rival[0] return winners - - def growFrom(self, seed, plant, soil, minwin = [None], rival = [None]): - #print(seed, plant, soil) + + def growFrom(self, seed, plant, soil, minwin=None, rival=None): + # print(seed, plant, soil) """as a SIDE-EFFECT, recursively fill out the set of winners, starting from seed""" - for w in self.beaters(seed,soil, minwin, rival, private=True): - #print(w,"grows on",seed) + if minwin is None: + minwin = [None] + if rival is None: + rival = [None] + for w in self.beaters(seed, soil, minwin, rival, private=True): + # print(w,"grows on",seed) plant.append(w) self.growFrom(w, plant, soil, minwin, rival) - + def delegated(self, amounts, cantWin=None): delegator = self.order[0] appr = np.matrix(np.zeros(self.n)) dprefs = self.prefs[delegator] - #print(dprefs) - appr[:,dprefs] = amounts + # print(dprefs) + appr[:, dprefs] = amounts if DEBUG: - for i in range(self.n-1): - assert appr[0,dprefs[i]] >= appr[0,dprefs[i+1]],"bullshit %i %i %s ... %s" % (appr[0,dprefs[i]],appr[0,dprefs[i+1]],appr,dprefs) - - #print(appr) + for i in range(self.n - 1): + assert ( + appr[0, dprefs[i]] >= appr[0, dprefs[i + 1]] + ), "bullshit %i %i %s ... %s" % ( + appr[0, dprefs[i]], + appr[0, dprefs[i + 1]], + appr, + dprefs, + ) + + # print(appr) delg = list(self.delg) delg[delegator] = 0 - result = ElectionCounts(delg,appr + self.appr,self.prefs,self.order[1:], - cantWin or self.cantWin, self.majSmith) - result.matrix = self.matrix - self.oneMatrix(dprefs, self.delg[delegator]) + self.appMatrix(appr) + result = ElectionCounts( + delg, + appr + self.appr, + self.prefs, + self.order[1:], + cantWin or self.cantWin, + self.majSmith, + ) + result.matrix = ( + self.matrix + - self.oneMatrix(dprefs, self.delg[delegator]) + + self.appMatrix(appr) + ) return result - - - def winner(self, verbose = 0): - if not len(self.order): #delegation tree leaf - #print(self.matrix) + + def winner(self, verbose=0): + if not len(self.order): # delegation tree leaf + # print(self.matrix) if verbose > 2: print("leafed out", self.matrix) return np.argmax(self.matrix[0]) smith = self.majSmith - if len(smith) <= 1: #Clear winner, not worth finishing - #print(self.matrix) + if len(smith) <= 1: # Clear winner, not worth finishing + # print(self.matrix) if verbose > 2: print("crystal ball", smith[0], self.matrix) return smith[0] if self.oldSmith and verbose and len(smith) > len(self.oldSmith): - print("Smith set expanded!")#,self.oldSmith, smith, self.matrix) + print("Smith set expanded!") # ,self.oldSmith, smith, self.matrix) if self.cantWin: badWinners = True for possibility in smith: badWinners = badWinners and (possibility in self.cantWin) if badWinners: - #print("badwinners", smith, self.cantWin) + # print("badwinners", smith, self.cantWin) if verbose > 2: print("giving up", self.matrix) - return None #This is a shortcut. We don't know that this cand will win, but it will be ignored anyway. + return None # This is a shortcut. We don't know that this cand will win, but it will be ignored anyway. - #figure out reasonable bounds for whom to approve, who might win. + # figure out reasonable bounds for whom to approve, who might win. idealWinnerIndex = bestHopeIndex = self.n bestHope = None worstWinnerIndex = 0 @@ -245,90 +276,139 @@ def winner(self, verbose = 0): cantWin = self.cantWin or set() - #print("looping",len(self.order)) + # print("looping",len(self.order)) for amounts in self.possibleDelegations(worstWinnerIndex, idealWinnerIndex): - #print(".") - #print(self.delegated(np.array([10,10,0,0,0]))) - dec = self.delegated(amounts,cantWin) + # print(".") + # print(self.delegated(np.array([10,10,0,0,0]))) + dec = self.delegated(amounts, cantWin) w = dec.winner(verbose) if verbose and len(self.order) > 2: - print(w,len(self.order),"amounts",amounts,bestHope, bestHopeIndex,"and",worstWinnerIndex, idealWinnerIndex,"with",np.trace(dec.matrix)) - #print(" " * (5 - len(self.order)), "winner?", w, bestHope, curPrefs ) + print( + w, + len(self.order), + "amounts", + amounts, + bestHope, + bestHopeIndex, + "and", + worstWinnerIndex, + idealWinnerIndex, + "with", + np.trace(dec.matrix), + ) + # print(" " * (5 - len(self.order)), "winner?", w, bestHope, curPrefs ) if w == idealWinner: if verbose > 1.5: print("love it", w, dec.matrix) - return(w) + return w if w is None: - #print("nothing for",amounts) + # print("nothing for",amounts) continue i = curPrefs.index(w) - #if len(self.order) == 3: #print(i) + # if len(self.order) == 3: #print(i) if i < bestHopeIndex: - if verbose > 2-len(self.order)*1.0/10: - print("updating w,len(self.order),amounts",w,i,len(self.order),amounts,curPrefs,bestHopeIndex) - #print(,amounts) + if verbose > 2 - len(self.order) * 1.0 / 10: + print( + "updating w,len(self.order),amounts", + w, + i, + len(self.order), + amounts, + curPrefs, + bestHopeIndex, + ) + # print(,amounts) print() bestHopeIndex = i bestHope = w - for l in range(i+1,self.n): + for l in range(i + 1, self.n): cantWin.add(curPrefs[l]) return bestHope - + def possibleDelegations(self, worstWinnerIndex, idealWinnerIndex): - #first, full thresholding + # first, full thresholding curPrefs = self.prefs[self.order[0]] size = self.delg[self.order[0]] delegations = np.zeros(self.n) - for i in range(max(1,idealWinnerIndex + 1)): + for i in range(max(1, idealWinnerIndex + 1)): delegations[i] = size dcopy = np.array(delegations) - #print("hi",i,worstWinnerIndex + 1) - for i in range(i,worstWinnerIndex + 1): + # print("hi",i,worstWinnerIndex + 1) + for i in range(i, worstWinnerIndex + 1): delegations[i] = size yield np.array(delegations) - #print("there") - #print("you") - - #Now, try to be clever + # print("there") + # print("you") + + # Now, try to be clever if self.minWin: - for i in range(idealWinnerIndex + 1, worstWinnerIndex): #if i==3 and idealWinnerIndex==1 we want [max, max, mid, mid, 0, 0] + for i in range( + idealWinnerIndex + 1, worstWinnerIndex + ): # if i==3 and idealWinnerIndex==1 we want [max, max, mid, mid, 0, 0] delegations = np.array(dcopy) - needed = max(0, - min(size, - self.minWin[0] - (max(self.matrix[:,curPrefs[i]][range(i+1,worstWinnerIndex+1),:])[0,0] - size) + 0.1)) + needed = max( + 0, + min( + size, + self.minWin[0] + - ( + max( + self.matrix[:, curPrefs[i]][ + range(i + 1, worstWinnerIndex + 1), : + ] + )[0, 0] + - size + ) + + 0.1, + ), + ) for j in range(idealWinnerIndex + 1, i + 1): delegations[j] = needed yield np.array(delegations) - - - #self.appMatrixcurPrefs[idealWinnerIndex] - - + + # self.appMatrixcurPrefs[idealWinnerIndex] + def scores(self): scores = np.zeros(self.n) for i in range(len(self.delg)): for j in range(self.n): - scores[self.prefs[i][j]] = scores[self.prefs[i][j]] + self.delg[i] * (self.n-j-1) + scores[self.prefs[i][j]] = scores[self.prefs[i][j]] + self.delg[i] * ( + self.n - j - 1 + ) for j in range(self.n): - scores[j] = scores[j] + self.appr.tolist()[0][j] * self.n-1 + scores[j] = scores[j] + self.appr.tolist()[0][j] * self.n - 1 return scores - - - - -myEc = ElectionCounts([4,3,2,0],[0,0,0,1],[[0,1,2,3],[1,2,0,3],[2,0,1,3],[3,2,1,0]],[0,1,2,3]) -myEc2 = ElectionCounts([5,30,20,0],[35,0,0,1],[[0,1,2,3],[1,2,0,3],[2,1,0,3],[3,2,1,0]],[0,1,2,3]) +myEc = ElectionCounts( + [4, 3, 2, 0], + [0, 0, 0, 1], + [[0, 1, 2, 3], [1, 2, 0, 3], [2, 0, 1, 3], [3, 2, 1, 0]], + [0, 1, 2, 3], +) + +myEc2 = ElectionCounts( + [5, 30, 20, 0], + [35, 0, 0, 1], + [[0, 1, 2, 3], [1, 2, 0, 3], [2, 1, 0, 3], [3, 2, 1, 0]], + [0, 1, 2, 3], +) -myEc3 = ElectionCounts([4,3,2,0],[0,0,0,0],[[0,1,2,3],[2,3,0,1],[3,0,1,2],[3,2,1,0]],[0,1,2,3]) +myEc3 = ElectionCounts( + [4, 3, 2, 0], + [0, 0, 0, 0], + [[0, 1, 2, 3], [2, 3, 0, 1], [3, 0, 1, 2], [3, 2, 1, 0]], + [0, 1, 2, 3], +) + def shuffled(n): l = list(range(n)) random.shuffle(l) return l + def randomElection(ncand): return ElectionCounts( [random.randrange(4, 20, 3) for _ in range(ncand)], @@ -337,21 +417,20 @@ def randomElection(ncand): list(range(ncand)), ) + def monteCarlo(n): funky = [] for i in range(n): if i % 50 == 0: - print("tick",i) + print("tick", i) re = randomElection(4 + random.randrange(4)) w = re.winner() if w not in re.majSmith: - print("Unsmith!!!",i) + print("Unsmith!!!", i) funky.append(re) - print(re.delg,re.appr) + print(re.delg, re.appr) print(re.prefs) print(re.matrix) - print(w,re.majSmith) + print(w, re.majSmith) print("funny, huh?") return funky - - \ No newline at end of file diff --git a/stratEval.py b/stratEval.py new file mode 100644 index 0000000..7986937 --- /dev/null +++ b/stratEval.py @@ -0,0 +1,260 @@ +import csv +import os +import multiprocessing +from numpy.core.fromnumeric import mean, std +from numpy.lib.function_base import median + +from methods import * +from mwmethods import * +from voterModels import * +from stratFunctions import noisyMedia + + +def simpleStratTest( + electorate, method, strats, numWinners, electabilities, bgBallots, pollingError=0.2 +): + + if numWinners > 1: + stats = {"mean": mean, "max": max, "median": median} + else: + stats = {"": max} + + baseWinners = method.winnerSet(bgBallots, numWinners) + polls = noisyMedia(method.results(bgBallots), pollingError) + totalResults = [] + for strat, stratArgs in strats: + results = {stat: 0 for stat in stats} + for i, voter in enumerate(electorate): + newBallot = strat( + voter, + electabilities=electabilities, + polls=polls, + numWinners=numWinners, + **stratArgs, + ) + winners = method.winnerSet( + bgBallots[:i] + [newBallot] + bgBallots[i + 1 :], numWinners + ) + if winners != baseWinners: + for statName, statFunc in stats.items(): + results[statName] += statFunc( + [voter[w] for w in winners] + ) - statFunc([voter[w] for w in baseWinners]) + totalResults.append(results) + return totalResults + + +def st(args, kw): + return simpleStratTest(*args, **kw) + + +def methodStratLoop( + voterModel, + methods, + strats, + nvot, + ncand, + numWinners, + bgStrat=None, + bgStratArgs=None, + pollingError=0.2, + pollingMethod=None, + pollingStrat=Approval.zeroInfoBallot, + pollingStratArgs=None, +): + if bgStratArgs is None: + bgStratArgs = {} + if pollingStratArgs is None: + pollingStratArgs = {"pickiness": 0.7} + if not isinstance(methods, list): + methods = [methods] + electorate = voterModel(nvot, ncand) + electabilities = noisyMedia( + pollingMethod.results( + pollingStrat(voter, **pollingStratArgs) for voter in electorate + ), + pollingError, + ) + bgBallots = [ + bgStrat(v, electabilities=electabilities, numWinners=numWinners, **bgStratArgs) + for v in electorate + ] + return { + m.__name__: simpleStratTest( + electorate, + m, + strats, + numWinners, + electabilities, + bgBallots, + pollingError, + ) + for m in methods + } + + +def keyTuple(method, strat, statName): + return (method.__name__, strat[0].__name__, str(strat[1]), statName) + + +class StratTest: + def __init__( + self, + niter, + voterModel, + methods, + strats, + nvot, + ncand, + numWinners=1, + bgStrat=None, + bgStratArgs=None, + pollingError=0.2, + pollingMethod=None, + pollingStrat=Approval.zeroInfoBallot, + pollingStratArgs=None, + ): + if bgStratArgs is None: + bgStratArgs = {} + if pollingStratArgs is None: + pollingStratArgs = {"pickiness": 0.7} + if pollingMethod is None: + if numWinners == 1: + pollingMethod, pollingStrat = Approval, Approval.zeroInfoBallot + else: + pollingMethod, pollingStrat = Plurality, Plurality.honBallot + if not isinstance(methods, list): + methods = [methods] + if bgStrat is None: + bgStrat = methods[0].honBallot + for i, strat in enumerate(strats): + if not isinstance(strat, tuple): + strats[i] = (strat, {}) + self.strats = strats + strats.append((methods[0].abstain, {})) + self.statNames = [""] if numWinners == 1 else ["mean", "max", "median"] + self.rowDicts = { + keyTuple(m, strat, stat): [] + for m in methods + for strat in strats + for stat in self.statNames + } + with multiprocessing.Pool(processes=7) as pool: + results = pool.starmap( + methodStratLoop, + [ + ( + voterModel, + methods, + strats, + nvot, + ncand, + numWinners, + bgStrat, + bgStratArgs, + pollingError, + pollingMethod, + pollingStrat, + pollingStratArgs, + ) + for i in range(niter) + ], + ) + + for row in results: + for m in methods: + for i, strat in enumerate(strats): + for stat in self.statNames: + self.rowDicts[keyTuple(m, strat, stat)].append( + row[m.__name__][i][stat] + ) + self.totals = {key: sum(rows) for key, rows in self.rowDicts.items()} + # self.totals = [{stat: sum(oneDict[stat] for oneDict in methodResults) for stat in self.rows[0][0]} for methodResults in zip(*self.rows)] + # self.stds = [{stat: std([oneDict[stat] for oneDict in methodResults])*len(methodResults)**0.5 for stat in self.rows[0][0]} for methodResults in zip(*self.rows)] + # self.strats = kw['strats'] if 'strats' in kw else args[2] + # abstainTotals = self.totals[-1] + self.statNames = [""] if numWinners == 1 else ["mean", "max", "median"] + self.esif = { + keyTuple(m, strat, stat): -( + self.totals[keyTuple(m, strat, stat)] + - self.totals[keyTuple(m, (m.abstain, {}), stat)] + ) + / self.totals[keyTuple(m, (m.abstain, {}), stat)] + for m in methods + for strat in self.strats + for stat in self.statNames + } + # self.scores = [{stat: -(total - abstainTotals[stat])/abstainTotals[stat] for stat, total in m.items()} for m in self.totals[:-1]] + self.multiMethods = len(methods) > 1 + self.multiStrats = any(s != strats[0][0] for s, a in strats) + self.multiArgs = any(a != strats[0][1] for s, a in strats) + + def showESIF(self): + for stat in self.statNames: + print(f"{stat}:") + print( + ("Method\t" if self.multiMethods else "") + + ("Strategy\t" if self.multiStrats else "") + + ("Arguments\t" if self.multiArgs else "") + + "ESIF" + ) + for key, value in self.esif.items(): + if key[3] != stat or key[1] == "abstain": + continue + print( + (key[0] + "\t" if self.multiMethods else "") + + (key[1] + "\t" if self.multiStrats else "") + + (key[2] + "\t" if self.multiArgs else "") + + f"{value:.4f}" + ) + + def getUncertainty(self, m1, m2, s1, s2, stat=None): + if not isinstance(s1, tuple): + s1 = (s1, {}) + if not isinstance(s2, tuple): + s2 = (s2, {}) + if stat is None: + stat = self.statNames[0] + niter = len(self.rowDicts[keyTuple(m1, s1, stat)]) + devOfTotal = ( + std( + [ + a - b + for a, b in zip( + self.rowDicts[keyTuple(m1, s1, stat)], + self.rowDicts[keyTuple(m2, s2, stat)], + ) + ] + ) + * niter**0.5 + ) + total = ( + self.totals[keyTuple(m1, s1, stat)] - self.totals[keyTuple(m2, s2, stat)] + ) + return devOfTotal, total + + def showScores(self): + """nonfunctional""" + params = [] + stratNames = [] + stratArgs = [] + for s in self.strats: + if isinstance(s, tuple): + stratNames.append(s[0].__name__) + stratArgs.append(s[1]) + for param in s[1]: + if param not in params: + params.append(param) + else: + stratNames.append(s.__name__) + stratArgs.append({}) + multiNames = any(name != stratNames[0] for name in stratNames) + print(("Strategy\t" if multiNames else "") + "\t".join(params + statNames)) + for key, value in self.esif: + print( + (key[1] + "\t" if multiNames else "") + + "\t".join( + [str(stratArgs[i].get(p, "")) for p in params] + + [f"{row[stat]:.4f}" for stat in self.scores[0]] + ) + ) diff --git a/stratFunctions.py b/stratFunctions.py index 8f4e889..6891acf 100644 --- a/stratFunctions.py +++ b/stratFunctions.py @@ -1,4 +1,3 @@ - from mydecorators import autoassign, cached_property, setdefaultattr from voterModels import * import random @@ -12,153 +11,51 @@ from dataClasses import * +###media -###################Choosers -class Chooser: - tallyKeys = [] - - @autoassign - def __init__(self, choice, subChoosers=[]): - """Subclasses should just copy/paste this logic because - each will have its own parameters and so that's easiest.""" - pass - - def getName(self): - if hasattr(self, "choice"): #only true for base class - #print("base") - return self.choice - if not hasattr(self, "name") or not self.name: - #print("generic") - self.name = self.__class__.__name__[:-7] #drop the "Chooser" - #print("specific") - return self.name - - def __call__(self, cls, voter, tally): - return self.choice - - def addTallyKeys(self, tally): - for key in self.allTallyKeys: - tally[key] = 0 - - @cached_property - def myKeys(self): - prefix = f"{self.getName()}_" - return [prefix + key for key in self.tallyKeys] - - @cached_property - def allTallyKeys(self): - keys = self.myKeys - for subChooser in self.subChoosers: - keys += subChooser.allTallyKeys - return keys - - @cached_property - def __name__(self): - return self.__class__.__name__ - -beHon = Chooser("hon") -beStrat = Chooser("strat") -beX = Chooser("extraStrat") - -class LazyChooser(Chooser): - """Honest, if honest and strategic are the same. Otherwise, extra-strategic.""" - - tallyKeys = [""] - @autoassign - def __init__(self, subChoosers=[beHon, beX]): - pass - - - def __call__(self, cls, voter, tally): - if getattr(voter, f"{cls.__name__}_hon") == getattr( - voter, f"{cls.__name__}_strat" - ): - tally[self.myKeys[0]] += 0 - return self.subChoosers[0](cls, voter, tally) #hon - tally[self.myKeys[0]] += 1 - return self.subChoosers[1](cls, voter, tally) #strat - -class OssChooser(Chooser): - tallyKeys = ["", "gap"] - """one-sided strategy: - returns a 'strategic' ballot for those who prefer the strategic target, - and an honest ballot for those who prefer the honest winner. Only works - if honBallot and stratBallot have already been called for the voter. - - - """ - @autoassign - def __init__(self, subChoosers = [beHon, beStrat]): - pass - - def __call__(self, cls, voter, tally): - hon, strat = self.subChoosers - if not getattr(voter, f"{cls.__name__}_isStrat", False): - return hon(cls, voter, tally) if callable(hon) else hon - tally[self.myKeys[0]] += 1 - tally[self.myKeys[1]] += getattr(voter, f"{cls.__name__}_stratGap", 0) - return strat(cls, voter, tally) if callable(strat) else strat - - def getName(self): - baseName = super(OssChooser, self).getName() - return f"{baseName}." + "_".join(s.getName() for s in self.subChoosers) + "." - -class ProbChooser(Chooser): - @autoassign - def __init__(self, probs): - self.subChoosers = [chooser for (p, chooser) in probs] - - def __call__(self, cls, voter, tally): - r = random.random() - for (i, (p, chooser)) in enumerate(self.probs): - r -= p - if r < 0: - if i > 0: #keep tally for all but first option - tally[f"{self.getName()}_{chooser.getName()}"] += 1 - return chooser(cls, voter, tally) - - def getName(self): - baseName = super(ProbChooser, self).getName() - return ( - f"{baseName}." - + "_".join(s.getName() + str(round(p * 100)) for p, s in self.probs) - + "." - ) - - +def truth(standings, *args): + return standings -###media +def noisyMedia(standings, marginOfError): + return [min(1, max(0, random.gauss(s, marginOfError / 2))) for s in standings] -def truth(standings, tally=None): - return standings def topNMediaFor(n): - def topNMedia(standings, tally=None): + def topNMedia(standings): return list(standings[:n]) + [min(standings)] * (len(standings) - n) + return topNMedia + def biaserAround(scale): def biaser(standings): - return scale * std(standings,ddof=1) + return scale * std(standings, ddof=1) + return biaser + def orderOf(standings): - return [i for i,val in sorted(list(enumerate(standings)), key=lambda x:x[1], reverse=True)] + return [ + i + for i, val in sorted( + list(enumerate(standings)), key=lambda x: x[1], reverse=True + ) + ] + -def fuzzyMediaFor(biaser = biaserAround(1)): - def fuzzyMedia(standings, tally=None): - if not tally: - tally=SideTally() +def fuzzyMediaFor(biaser=biaserAround(1)): + def fuzzyMedia(standings): bias = biaser(standings) if callable(biaser) else biaser - result= [s + random.gauss(0,bias) for s in standings] - tally["changed"] += 0 if orderOf(result)[:2] == orderOf(standings)[:2] else 1 + result = [s + random.gauss(0, bias) for s in standings] + return result return fuzzyMedia -def biasedMediaFor(biaser=biaserAround(1),numerator=1): + +def biasedMediaFor(biaser=biaserAround(1), numerator=1): """ if numerator is 1: 0, 0, -1/2, -2/3, -3/4.... @@ -168,32 +65,31 @@ def biasedMediaFor(biaser=biaserAround(1),numerator=1): """ - def biasedMedia(standings, tally=None): - if not tally: - tally=SideTally() + + def biasedMedia(standings): bias = biaser(standings) if callable(biaser) else biaser result = standings[:2] + [ (standing - bias + numerator * (bias / max(i + 2, 1))) for i, standing in enumerate(standings[2:]) ] - tally["changed"] += 0 if orderOf(result)[:2] == orderOf(standings)[:2] else 1 return result return biasedMedia + def skewedMediaFor(biaser): """ [0, -1/3, -2/3, -1] """ - def skewedMedia(standings, tally=None): - if not tally: - tally=SideTally() - bias = biaser(standings) if callable(biaser) else biaser - result= [(standing - bias * i / (len(standings) - 1)) for i, standing in enumerate(standings)] - tally["changed"] += 0 if orderOf(result)[:2] == orderOf(standings)[:2] else 1 + def skewedMedia(standings): + bias = biaser(standings) if callable(biaser) else biaser + result = [ + (standing - bias * i / (len(standings) - 1)) + for i, standing in enumerate(standings) + ] return result return skewedMedia diff --git a/tests.py b/tests.py index 5b25935..103b2b8 100644 --- a/tests.py +++ b/tests.py @@ -8,12 +8,13 @@ setDebug(False) debug("High 5") + def load_tests(loader, tests, ignore): - + setDebug(False) tests.addTests(doctest.DocTestSuite(vse)) tests.addTests(doctest.DocTestSuite(voterModels)) tests.addTests(doctest.DocTestSuite(stratFunctions)) tests.addTests(doctest.DocTestSuite(methods)) tests.addTests(doctest.DocTestSuite(dataClasses)) - return tests \ No newline at end of file + return tests diff --git a/version.py b/version.py new file mode 100644 index 0000000..5f5be18 --- /dev/null +++ b/version.py @@ -0,0 +1,3 @@ +from packaging import version as v + +version = v.parse("2.0.a1") diff --git a/voterModels.py b/voterModels.py index e293150..74e2429 100644 --- a/voterModels.py +++ b/voterModels.py @@ -7,14 +7,19 @@ from numpy.ma.core import floor from scipy.stats import beta from test.test_binop import isnum -from debugDump import * +from uuid import uuid4 -class Voter(tuple): - """A tuple of candidate utilities. + +from debugDump import * +class Voter(tuple): + """A tuple of candidate utilities.""" - """ + @cached_property + def id(self): + """Get a repeatable uuid""" + return uuid4() @classmethod def rand(cls, ncand): @@ -33,8 +38,7 @@ def rand(cls, ncand): >>> 0.8 < std(v100) < 1.2 True """ - return cls(random.gauss(0,1) for _ in range(ncand)) - + return cls(random.gauss(0, 1) for _ in range(ncand)) def hybridWith(self, v2, w2): """Create a weighted average of two voters. @@ -58,9 +62,17 @@ def hybridWith(self, v2, w2): (0.5, 1.0, 4.0) """ assert len(self) == len(v2) - return self.copyWithUtils( ((self[i] / sqrt(1 + w2 ** 2)) + - (w2 * v2[i] / sqrt(1 + w2 ** 2))) - for i in range(len(self))) + return self.copyWithUtils( + ((self[i] / sqrt(1 + w2**2)) + (w2 * v2[i] / sqrt(1 + w2**2))) + for i in range(len(self)) + ) + + def addUtils(self, utils): + """Create a new voter with the given utils added to this voter's utils + >>> Voter([1,2,3]).addUtils([5,1,0]) + (6, 3, 3) + """ + return self.copyWithUtils(myUtil + utils[i] for i, myUtil in enumerate(self)) def copyWithUtils(self, utils): """create a new voter with attrs as self and given utils. @@ -84,19 +96,22 @@ def mutantChild(self, muteWeight): """ return self.hybridWith(self.__class__.rand(len(self)), muteWeight) + class PersonalityVoter(Voter): cluster_count = 0 def __init__(self, *args, **kw): - super().__init__()#*args, **kw) #WTF, python? + super().__init__() # *args, **kw) #WTF, python? self.cluster = self.__class__.cluster_count self.__class__.cluster_count += 1 - self.personality = random.gauss(0,1) #probably to be used for strategic propensity - #but in future, could be other clustering voter variability, such as media awareness + self.personality = random.gauss( + 0, 1 + ) # probably to be used for strategic propensity + # but in future, could be other clustering voter variability, such as media awareness - #@classmethod - #def rand(cls, ncand): + # @classmethod + # def rand(cls, ncand): # voter = super().rand(ncand) # return voter @@ -113,9 +128,16 @@ def copyAttrsFrom(self, model): self.personality = model.personality self.cluster = model.cluster + class Electorate(list): """A list of voters. Each voter is a list of candidate utilities""" + + @cached_property + def id(self): + """Get a repeatable uuid""" + return uuid4() + @cached_property def socUtils(self): """Return mean utility across electorate for each candidate: their social utilities. @@ -124,7 +146,7 @@ def socUtils(self): >>> e.socUtils [2.0, 3.0] """ - return list(map(mean,zip(*self))) + return list(map(mean, zip(*self))) class RandomModel: @@ -137,14 +159,16 @@ class RandomModel: def __str__(self): return self.__class__.__name__ + def __call__(self, nvot, ncand, vType=PersonalityVoter): return Electorate(vType.rand(ncand) for _ in range(nvot)) + class DeterministicModel(RandomModel): """Basically, a somewhat non-boring stub for testing. - >>> DeterministicModel(3)(4, 3) - [(0, 1, 2), (1, 2, 0), (2, 0, 1), (0, 1, 2)] + >>> DeterministicModel(3)(4, 3) + [(0, 1, 2), (1, 2, 0), (2, 0, 1), (0, 1, 2)] """ @autoassign @@ -152,8 +176,10 @@ def __init__(self, modulo): pass def __call__(self, nvot, ncand, vType=PersonalityVoter): - return Electorate(vType((i+j)%self.modulo for i in range(ncand)) - for j in range(nvot)) + return Electorate( + vType((i + j) % self.modulo for i in range(ncand)) for j in range(nvot) + ) + class ReverseModel(RandomModel): """Creates an even number of voters in two diametrically-opposed camps @@ -165,13 +191,15 @@ class ReverseModel(RandomModel): >>> e4[0].hybridWith(e4[3],1) (0.0, 0.0, 0.0) """ + def __call__(self, nvot, ncand, vType=PersonalityVoter): if nvot % 2: raise ValueError basevoter = vType.rand(ncand) - return Electorate( ([basevoter] * (nvot//2)) + - ([vType(-q for q in basevoter)] * (nvot//2)) - ) + return Electorate( + ([basevoter] * (nvot // 2)) + ([vType(-q for q in basevoter)] * (nvot // 2)) + ) + class QModel(RandomModel): """Adds a quality dimension to a base model, @@ -192,14 +220,20 @@ class QModel(RandomModel): True """ + @autoassign def __init__(self, qWeight=0.5, baseModel=ReverseModel()): pass def __call__(self, nvot, ncand, vType=PersonalityVoter): qualities = vType.rand(ncand) - return Electorate([v.hybridWith(qualities,self.qWeight) - for v in self.baseModel(nvot, ncand, vType)]) + return Electorate( + [ + v.hybridWith(qualities, self.qWeight) + for v in self.baseModel(nvot, ncand, vType) + ] + ) + class PolyaModel(RandomModel): """This creates electorates based on a Polya/Hoppe/Dirichlet model, with mutation. @@ -207,10 +241,10 @@ class PolyaModel(RandomModel): plus alpha "wildcard" voters. Then you draw a voter from the urn, clone and mutate them, and put the original and clone back into the urn. If you draw a "wildcard", use voterGen to make a new voter. - """ + """ + @autoassign - def __init__(self, seedVoters=2, alpha=1, seedModel=QModel(), - mutantFactor=0.2): + def __init__(self, seedVoters=2, alpha=1, seedModel=QModel(), mutantFactor=0.2): pass def __call__(self, nvot, ncand, vType=PersonalityVoter): @@ -227,23 +261,33 @@ def __call__(self, nvot, ncand, vType=PersonalityVoter): election.append(vType.rand(ncand)) return election -class DimVoter(PersonalityVoter): - """A voter in an n-dimensional model. - - """ +class DimVoter(PersonalityVoter): + """A voter in an n-dimensional model.""" @classmethod - def fromDims(cls, v, e, caring = None): + def fromDims(cls, v, e, caring=None): + """ + v: a voter's coordinates in "policyspace" + e: an electorate with the attributes e.cands(a list of candidates with their positions in "policyspace" + and e.dimWeights (a list of numbers indicating how important each dimension is) + Returns a voter whose utility for each candidate is minus the voter's distance from them in policyspace + """ if caring is None: caring = [1] * len(v) totCaring = e.totWeight else: - totCaring = sum((c*w)**2 for c,w in zip(caring, e.dimWeights)) - me = cls(-sqrt( - sum(((vd - cd)*w*cares)**2 for (vd, cd, w, cares) in zip(v,c,e.dimWeights,caring)) / - totCaring) - for c in e.cands) + totCaring = sum((c * w) ** 2 for c, w in zip(caring, e.dimWeights)) + me = cls( + -sqrt( + sum( + ((vd - cd) * w * cares) ** 2 + for (vd, cd, w, cares) in zip(v, c, e.dimWeights, caring) + ) + / totCaring + ) + for c in e.cands + ) me.copyAttrsFrom(v) me.dims = v me.elec = e @@ -251,17 +295,17 @@ def fromDims(cls, v, e, caring = None): class DimElectorate(Electorate): - def asDims(self, v, *args): return v def fromDims(self, dimvoters, vType): for v in dimvoters: - self.append(vType.fromDims(v,self)) + self.append(vType.fromDims(v, self)) def calcTotWeight(self): self.totWeight = sum(w**2 for w in self.dimWeights) + class DimModel(RandomModel): """ @@ -273,13 +317,14 @@ class DimModel(RandomModel): """ + builtElectorate = DimElectorate @autoassign def __init__(self, ndims=3, dimWeights=None, baseElectorate=RandomModel()): if self.dimWeights is None: - self.dimWeights = [2**(-n) for n in range(ndims)] - assert(len(self.dimWeights) == self.ndims) + self.dimWeights = [2 ** (-n) for n in range(ndims)] + assert len(self.dimWeights) == self.ndims def __call__(self, nvot, ncand, vType=DimVoter): elec = self.builtElectorate() @@ -289,44 +334,60 @@ def __call__(self, nvot, ncand, vType=DimVoter): def makeElectorate(self, elec, nvot, ncand, vType): elec.calcTotWeight() votersncands = self.baseElectorate(nvot + ncand, len(elec.dimWeights), vType) - elec.base = [elec.asDims(v,i) for i,v in enumerate(votersncands[:nvot])] - elec.cands = [elec.asDims(v,nvot+i) for i,v in enumerate(votersncands[nvot:])] + elec.base = [elec.asDims(v, i) for i, v in enumerate(votersncands[:nvot])] + elec.cands = [ + elec.asDims(v, nvot + i) for i, v in enumerate(votersncands[nvot:]) + ] elec.fromDims(elec.base, vType) return elec -def rbeta(a,b): - return lambda: beta.rvs(a,b) -unishdist = rbeta(1,.8) +def rbeta(a, b): + return lambda: beta.rvs(a, b) -caresDist = rbeta(3,1.5) -class KSElectorate(DimElectorate): +unishdist = rbeta(1, 0.8) +caresDist = rbeta(3, 1.5) + + +class KSElectorate(DimElectorate): def chooseClusters(self, n, alpha, caring): - self.clusters = [] + """ + Sets up the crosscat structure. + args: + n: number of voters to create + alpha: global alpha for subcluster dirichlet processes + + preconditions: + .numSubclusters is a len-.numViews array of zeros + + + Side-effects include setting the following attributes on self: + .views: a + """ + self.views = [] for i in range(n): item = [] - for c in range(self.numClusters): - r = (i+alpha) * random.random() + for c in range(self.numViews): + r = (i + alpha) * random.random() if r > i: item.append(self.numSubclusters[c]) self.numSubclusters[c] += 1 else: - item.append(self.clusters[int(r)][c]) - self.clusters.append(item) + item.append(self.views[int(r)][c]) + self.views.append(item) self.clusterMeans = [] self.clusterCaring = [] - for c in range(self.numClusters): + for c in range(self.numViews): subclusterMeans = [] subclusterCaring = [] for _ in range(self.numSubclusters[c]): cares = caring() subclusterMeans.append( - [random.gauss(0, sqrt(cares)) for _ in range(self.dcs[c])] + [random.gauss(0, sqrt(cares)) for _ in range(self.dimsPerView[c])] ) - subclusterCaring.append(caring()) self.clusterMeans.append(subclusterMeans) self.clusterCaring.append(subclusterCaring) @@ -334,54 +395,82 @@ def chooseClusters(self, n, alpha, caring): def asDims(self, v, i): result = [] cares = [] - for dim, c in enumerate(range(self.numClusters)): - clusterMean = self.clusterMeans[c][self.clusters[i][c]] + for c in range(self.numViews): + clusterMean = self.clusterMeans[c][self.views[i][c]] for m in clusterMean: - acare = self.clusterCaring[c][self.clusters[i][c]] - result.append(m + (v[dim] * sqrt(1-acare))) + acare = self.clusterCaring[c][self.views[i][c]] + result.append(m + (v[dim] * sqrt(1 - acare))) cares.append(acare) - v = PersonalityVoter(result) #TODO: do personality right + v = PersonalityVoter(result) # TODO: do personality right v.cares = cares return v def fromDims(self, dimvoters, vType): for v in dimvoters: - self.append(vType.fromDims(v,self,v.cares)) + self.append(vType.fromDims(v, self, v.cares)) -class KSModel(DimModel): #Kitchen sink + +class KSModel(DimModel): # Kitchen sink builtElectorate = KSElectorate baseElectorate = RandomModel() @autoassign - #dc = dimensional cluster; vc = voter cluster - def __init__(self, dcdecay=(1,1), dccut = .2, - wcdecay=(1,1), wccut = .2, - wcalpha=1, vccaring=(3,1.5)): + # dc = dimensional cluster; vc = voter cluster + def __init__( + self, + dcdecay=(1, 1), + dccut=0.2, + wcdecay=(1, 1), + wccut=0.2, + wcalpha=1, + vccaring=(6, 3), + ): pass def __str__(self): - return "_".join(str(x) for x in (self.__class__.__name__,self.wcalpha) + self.dcdecay + self.wcdecay + self.vccaring) + return "_".join( + str(x) + for x in (self.__class__.__name__, self.wcalpha) + + self.dcdecay + + self.wcdecay + + self.vccaring + ) def __call__(self, nvot, ncand, vType=DimVoter): - """Tests? Making statistical tests that would pass reliably is + """Create an electorate. + Args: + nvot: number of voters + ncand: number of cands + vType: type of voter. Defaults to DimVoter. + + Directly responsible for side-effects: + Choose V (# views) and D_v (# dims per view) + Use two-level stick-breaking to assign non-normalized (!!!) dimension weights to each dimension. + len(e.dimsPerView) = e.numViews + len(e.dimWeights) = sum(e.dimsPerView) = num dims + + e.numSubclusters: init to array of e.numViews zeros; let chooseClusters go from there + + + TODO: Tests? Making statistical tests that would pass reliably is a huge hassle. Sorry, maybe later. """ vType.resetClusters() e = self.builtElectorate() - e.dcs = [] #number of dimensions in each dc - e.dimWeights = [] #raw importance of each dimension, regardless of dc - clusterWeight = 1 - while clusterWeight > self.dccut: - dimweight = clusterWeight + e.dimsPerView = [] # number of dimensions in each view + e.dimWeights = [] # raw importance of each dimension, regardless of view + viewWeight = 1 + while viewWeight > self.dccut: + dimweight = viewWeight dimnum = 0 while dimweight > self.wccut: e.dimWeights.append(dimweight) dimnum += 1 dimweight *= beta.rvs(*self.wcdecay) - e.dcs.append(dimnum) - clusterWeight *= beta.rvs(*self.dcdecay) - e.numClusters = len(e.dcs) - e.numSubclusters = [0] * e.numClusters - e.chooseClusters(nvot + ncand, self.wcalpha, lambda:beta.rvs(*self.vccaring)) + e.dimsPerView.append(dimnum) + viewWeight *= beta.rvs(*self.dcdecay) + e.numViews = len(e.dimsPerView) + e.numSubclusters = [0] * e.numViews + e.chooseClusters(nvot + ncand, self.wcalpha, lambda: beta.rvs(*self.vccaring)) return self.makeElectorate(e, nvot, ncand, vType) diff --git a/vse.py b/vse.py index 51cda35..df7e788 100644 --- a/vse.py +++ b/vse.py @@ -1,167 +1,494 @@ - -from imp import reload +import csv +import os +import multiprocessing +import time +import random from mydecorators import autoassign, cached_property, setdefaultattr, timeit -import random -from numpy.lib.scimath import sqrt -from numpy.core.fromnumeric import mean, std -from numpy.lib.function_base import median -from numpy.ma.core import floor -from test.test_binop import isnum +from methods import * +from voterModels import * +from dataClasses import * from debugDump import * -from voterModels import * -from stratFunctions import * -from methods import * -from uuid import uuid4 -import csv, os -join = os.path.join +def threeRoundResults( + method, + voters, + backgroundStrat, + foregrounds=None, + bgArgs=None, + r1Media=noisyMedia, + r2Media=noisyMedia, + pickiness=0.3, + pollingError=0.2, + r2PollingError=None, +): + """ + Performs three elections: a single approval voting contest in which everyone + votes honestly to give an intentionally crude estimate of electability + (which is filtered by r1Media), + then an election using no information beyond the first round of "polling" in which all voters + use backgroundStrat, and a third round which may use the results of both the prior rounds. + The third round is repeated for each choice of foreground. + A foreground is a (foregroundStrat, targetSelectionFunction, foregroundSelectionFunction, fgArgs) tuple + where targetSelectionFunction receives the input of (electabilities, media(round1Results)) and + returns (candToHelp, candToHurt). + foregroundSelectionFunction receives the input of + (voter, candToHelp, candToHurt, electabilities, r2Media(round1Results)) and returns a positive float + representing the voter's eagerness to be strategic if the voter will be part of the strategic foreground + and 0 if the voter will just use backgroundStrat. + foregroundSelectionFunction and fgArgs are optional in each tuple. + bgArgs and fgArgs are both dictionaries containing additional keyword arguments for strategies. + pollingError and r2PollingError are the margins of error (2-sigma) for the polls. + """ + if foregrounds is None: + foregrounds = [] + if bgArgs is None: + bgArgs = {} + if isinstance(backgroundStrat, str): + backgroundStrat = getattr(method, backgroundStrat) + if isinstance(foregrounds, tuple): + foregrounds = [foregrounds] + for i, f in enumerate(foregrounds): + # if foregroundSelectionFunction isn't provided, use default + if len(f) == 2: + foregrounds[i] = (f[0], f[1], wantToHelp, {}) + elif len(f) == 3: + if isinstance(f[2], dict): + foregrounds[i] = (f[0], f[1], wantToHelp, f[2]) + else: + foregrounds[i] = (f[0], f[1], f[2], {}) + if r2PollingError is None: + r2PollingError = pollingError + r0Results = Approval.results( + [ + useStrat(voter, Approval.zeroInfoBallot, pickiness=pickiness) + for voter in voters + ] + ) + r0Winner = method.winner(r0Results) + electabilities = tuple(r1Media(r0Results, pollingError)) + backgroundBallots = [ + useStrat(voter, backgroundStrat, electabilities=electabilities, **bgArgs) + for voter in voters + ] + r1Results = method.results(backgroundBallots) + r1Winner = method.winner(r1Results) + totalUtils = voters.socUtils + winProbs = pollsToProbs(r0Results, max(pollingError, 0.05)) + # The place of the first-place candidate is 1, etc. + r0Places = [ + sorted(r0Results, reverse=True).index(result) + 1 for result in r0Results + ] + r1Places = [ + sorted(r1Results, reverse=True).index(result) + 1 for result in r1Results + ] + constResults = dict( + method=method.__name__, + electorate=voters.id, + backgroundStrat=backgroundStrat.__name__, + numVoters=len(voters), + numCandidates=len(voters[0]), + magicBestUtil=max(totalUtils), + magicWorstUtil=min(totalUtils), + meanCandidateUtil=mean(totalUtils), + bgArgs=bgArgs, + r0ExpectedUtil=sum( + p * u for p, u in zip(winProbs, totalUtils) + ), # could use electabilities instead + r0WinnerUtil=totalUtils[r0Winner], + r1WinProb=winProbs[r1Winner], + r1WinnerUtil=totalUtils[r1Winner], + ) + allResults = [ + makeResults( + results=r0Results, + totalUtil=totalUtils[r0Winner], + probOfWin=winProbs[r0Winner], + **constResults + ), + makeResults( + results=r1Results, + totalUtil=totalUtils[r1Winner], + probOfWin=winProbs[r1Winner], + winnerPlaceInR0=r0Places[r1Winner], + **constResults + ), + ] + allResults[0]["method"] = "ApprovalPoll" + fgHelped = [] + fgHarmed = [] + for foregroundStrat, targetSelect, foregroundSelect, fgArgs in foregrounds: + polls = tuple(r2Media(r1Results, pollingError)) + candToHelp, candToHurt = targetSelect( + electabilities=electabilities, polls=polls, r0polls=electabilities + ) + pollOrder = [ + cand for cand, poll in sorted(enumerate(polls), key=lambda x: -x[1]) + ] + foreground = [] # (voter, ballot, eagernessToStrategize) tuples + permbgBallots = [] + for id, voter in enumerate(voters): + eagerness = foregroundSelect( + voter, + candToHelp=candToHelp, + candToHurt=candToHurt, + electabilities=electabilities, + polls=polls, + ) + if eagerness > 0: + foreground.append( + ( + voter, + useStrat( + voter, + foregroundStrat, + polls=polls, + electabilities=electabilities, + candToHelp=candToHelp, + candToHurt=candToHurt, + **fgArgs + ), + eagerness, + ) + ) + else: + permbgBallots.append(backgroundBallots[id]) -def uniquify(seq): - # order preserving - checked = [] - for e in seq: - if e not in checked: - checked.append(e) - return checked + # Everything below this just analyzes the result of the final round of voting + foreground.sort(key=lambda v: -v[2]) # from most to least eager to use strategy + fgSize = len(foreground) + fgBallots = [ballot for _, ballot, _ in foreground] + fgBaselineBallots = [ + useStrat(voter, backgroundStrat, electabilities=electabilities, **bgArgs) + for voter, _, _ in foreground + ] + ballots = fgBallots + permbgBallots + results = method.results(ballots) + winner = method.winner(results) + # foregroundBaseUtil = sum(voter[r1Winner] for voter, _, _ in foreground)/fgSize if fgSize else 0 + # foregroundStratUtil = sum(voter[winner] for voter, _, _ in foreground)/fgSize if fgSize else 0 + totalUtil = voters.socUtils[winner] + winnersFound = [(r1Winner, 0)] + partialResults = constResults.copy() + if winner != r1Winner: + winnersFound.append((winner, fgSize - 1)) + i = 1 + deciderMargUtilDiffs = [] + lastVoter = foreground[fgSize - 1][0] if fgSize else [0.0] * len(r1Results) + deciderUtilDiffs = [(lastVoter[winner] - lastVoter[r1Winner], nan, fgSize)] + allUtilDiffs = [ + ([voter[0][winner] - voter[0][r1Winner] for voter in foreground], fgSize) + ] + while i < len(winnersFound): + thisWinner = winnersFound[i][0] + threshold = method.stratThresholdSearch( + thisWinner, + winnersFound[i][1], + permbgBallots, + fgBallots, + fgBaselineBallots, + winnersFound, + ) + minfg = [voter for voter, _, _ in foreground][:threshold] + prevWinner = method.winner( + method.results( + permbgBallots + + fgBallots[: threshold - 1] + + fgBaselineBallots[threshold - 1 :] + ) + ) + if thisWinner == winner: + prefix = "min" + elif r1Winner == prevWinner: + prefix = "t1" + else: + prefix = "o" # +str(i) + partialResults |= makePartialResults( + minfg, thisWinner, r1Winner, prefix, candToHelp, candToHurt + ) + deciderUtils = foreground[threshold - 1][0] # The deciding voter + if ( + threshold == 0 + ): # this shouldn't actually matter as we'll end up ignoring it anyway + # , so having the wrong utilities would be OK. But let's get it right. + predeciderUtils = [0.0] * len(r1Results) + else: + predeciderUtils = foreground[threshold - 2][ + 0 + ] # The one before the deciding voter + deciderUtilDiffs.append( + ( + predeciderUtils[thisWinner] - predeciderUtils[r1Winner], + deciderUtils[thisWinner] - deciderUtils[r1Winner], + threshold, + ) + ) + allUtilDiffs.append( + ( + [ + voter[0][thisWinner] - voter[0][r1Winner] + for voter in foreground[: threshold + 1] + ], + threshold, + ) + ) + deciderMargUtilDiffs.append( + ( + deciderUtils[thisWinner] - deciderUtils[prevWinner], + threshold, + max(deciderUtils) - mean(deciderUtils), + ) + ) + i += 1 + deciderMargUtilDiffs.sort(key=lambda x: x[1]) + partialResults["deciderMargUtilDiffs"] = deciderMargUtilDiffs -class CsvBatch: - @timeit - @autoassign - def __init__(self, model, methods, nvot, ncand, niter, - baseName = None, media=truth, seed=None, force=False): - """A harness function which creates niter elections from model and finds three kinds - of utility for all methods given. + totalStratUtilDiff = 0 + margStrategicRegret = 0 + avgStrategicRegret = 0 + deciderUtilDiffs = sorted(deciderUtilDiffs, key=lambda x: x[2]) + allUtilDiffs = sorted(allUtilDiffs, key=lambda x: x[1]) + for i in range(len(deciderUtilDiffs) - 1): + totalStratUtilDiff += ( + (deciderUtilDiffs[i][1] + deciderUtilDiffs[i + 1][0]) + / 2 + * ( # Use average over endpoints to interpolate average over range + deciderUtilDiffs[i + 1][2] - deciderUtilDiffs[i][2] + ) + ) + margStrategicRegret += sum( + allUtilDiffs[i + 1][0][allUtilDiffs[i][1] : allUtilDiffs[i + 1][1]] + ) + avgStrategicRegret += mean(allUtilDiffs[i + 1][0]) * ( + allUtilDiffs[i + 1][1] - allUtilDiffs[i][1] + ) + partialResults["totalStratUtilDiff"] = totalStratUtilDiff + partialResults["margStrategicRegret"] = margStrategicRegret + partialResults["avgStrategicRegret"] = avgStrategicRegret + + partialResults.update( + makePartialResults( + [voter for voter, _, _ in foreground], + winner, + r1Winner, + "", + candToHelp, + candToHurt, + ) + ) + allResults.append( + makeResults( + results=results, + fgStrat=foregroundStrat.__name__, + fgTargets=targetSelect.__name__, + fgArgs=fgArgs, + winnerPlaceInR0=r0Places[winner], + winnerPlaceInR1=r1Places[winner], + probOfWin=winProbs[winner], + numWinnersFound=len(winnersFound), + totalUtil=totalUtil, + pivotalUtilDiff=deciderMargUtilDiffs[0][0] / deciderMargUtilDiffs[0][2] + if deciderMargUtilDiffs + else 0, + factionSize=fgSize, + factionFraction=(deciderMargUtilDiffs[0][1] + 1) / fgSize + if deciderMargUtilDiffs + else None, + deciderUtilDiffSum=sum(uDiff for uDiff, _, _ in deciderMargUtilDiffs), + **partialResults + ) + ) + return allResults - for instance: - >>> csvs = CsvBatch(PolyaModel(), [[Score(), baseRuns], [Mav(), medianRuns]], nvot=5, ncand=4, niter=3) - >>> len(csvs.rows) - 54 +class CsvBatch: + # @timeit + # @autoassign + def __init__( + self, + model, + methodsAndStrats, + nvot, + ncand, + niter, + r1Media=noisyMedia, + r2Media=noisyMedia, + seed=None, + pickiness=0.4, + pollingError=0.2, + ): + """methodsAndStrats is a list of (votingMethod, backgroundStrat, foregrounds, bgArgs). + A voting method may be given in place of such a tuple, in which case backgroundSrat, foregrounds, and bgArgs + will be determined automatically. + foregrounds are (foregroundStrat, targetSelectionFunction, foregroundSelectionFunction, fgArgs) tuples. + foregroundSelectionFunction is optional. + nvot and ncand gives the number of voters and candidates in each election, and niter is how many + electorates will be generated and have all the methods and strategies run on them. """ - rows = [] - emodel = str(model) - if (seed is None): - seed = (baseName or '') + str(niter) + self.rows = [] + if seed is None: + seed = time.time() self.seed = seed random.seed(seed) - try: - from git import Repo - repo = Repo(os.getcwd()) - if not force: - assert not repo.is_dirty() - self.repo_version = repo.head.commit.hexsha - except: - self.repo_version = 'unknown repo version' - for i in range(niter): - eid = uuid4() - electorate = model(nvot, ncand) - for method, chooserFuns in methods: - results = method.resultsTable(eid, emodel, ncand, electorate, chooserFuns, media=media) - rows.extend(results) - debug(i,results[1:3]) - self.rows = rows - if baseName: - self.saveFile(baseName) - - def saveFile(self, baseName="SimResults"): + ms = [] + for m in methodsAndStrats: + if isinstance(m, type) and issubclass(m, Method): + fgs = m.defaultfgs() + for bg in m.defaultbgs(): + if isinstance(bg, tuple): + ms.append((m, bg[0], fgs, bg[1])) + else: + ms.append((m, bg, fgs, {})) + # fgs = [] + # for targetFunc in [select21, select31, selectRand, select012]: + # fgs.extend([(m.diehardBallot, targetFunc, {'intensity':i}) for i in m.diehardLevels] + # + [(m.compBallot, targetFunc, {'intensity':i}) for i in m.compLevels]) + # fgs.append((m.vaBallot, targetFunc, {'info':'e'})) + # for bg in [m.honBallot, m.vaBallot]: + # ms.append((m, bg, fgs, {'pollingUncertainty':0.4})) + else: + ms.append(m) + args = (model, nvot, ncand, ms, pickiness, pollingError, r1Media, r2Media) + with multiprocessing.Pool(processes=7) as pool: + results = pool.starmap( + oneStepWorker, [args + (seed, i) for i in range(niter)] + ) + for result in results: + self.rows.extend(result) + + for row in self.rows: + row["voterModel"] = str(model) + + def saveFile(self, baseName="SimResults", newFile=True): """print the result of doVse in an accessible format. for instance: csvs.saveFile() """ i = 1 - while os.path.isfile(baseName + str(i) + ".csv"): - i += 1 - keys = ["vse", "method", "chooser", *list(self.rows[0].keys())] - for n in range(4): - keys.extend([f"tallyName{str(n)}", f"tallyVal{str(n)}"]) - keys = uniquify(keys) - with open(baseName + str(i) + ".csv", "w") as myFile: - print( - f"# {dict(media=self.media.__name__, version=self.repo_version, seed=self.seed, model=self.model, methods=self.methods, nvot=self.nvot, ncand=self.ncand, niter=self.niter)}", - file=myFile, - ) - - dw = csv.DictWriter(myFile, keys, restval = "NA") + if newFile: + while os.path.isfile(baseName + str(i) + ".csv"): + i += 1 + with open(baseName + (str(i) if newFile else "") + ".csv", "w") as myFile: + dw = csv.DictWriter(myFile, self.rows[0].keys(), restval="NA") dw.writeheader() for r in self.rows: dw.writerow(r) +def oneStepWorker( + model, + nvot, + ncand, + ms, + pickiness, + pollingError, + r1Media, + r2Media, + baseSeed=None, + i=0, +): + + if i > 0 and i % 50 == 0: + print("Iteration:", i) + if baseSeed is not None: + random.seed(baseSeed + i) + + electorate = model(nvot, ncand) + rows = [] + for method, bgStrat, fgs, bgArgs in ms: + results = threeRoundResults( + method, + electorate, + bgStrat, + fgs, + bgArgs=bgArgs, + r1Media=r1Media, + r2Media=r2Media, + pickiness=pickiness, + pollingError=pollingError, + ) + for result in results: + result.update( + dict( + seed=baseSeed + i, + pickiness=pickiness, + pollingError=pollingError, + ) + ) + rows.extend(results) + scenario = Condorcet.scenarioType(electorate) + for row in rows: + row["scenarioType"] = scenario + return rows + + +class CsvBatches(CsvBatch): + def __init__( + self, + model, + methodsAndStrats, + nvot, + ncand, + niter, + r1Media=noisyMedia, + r2Media=noisyMedia, + seed=None, + pickiness=0.4, + pollingError=0.2, + ): + """Just like CsvBatch, but you can replace an argument such as nvot with a list of values for that + argument to run a CsvBatch for every item of that list. The results appear in self.rows. + """ + possibleListArgs = [ + model, + nvot, + ncand, + r1Media, + r2Media, + pickiness, + pollingError, + ] + listArgs = [arg if isinstance(arg, list) else [arg] for arg in possibleListArgs] + argsList = listProduct( + listArgs + ) # each entry is a list of arguments to be passed to one call of CsvBatch + self.rows = [] + for a in argsList: + self.rows.extend( + CsvBatch( + a[0], + methodsAndStrats, + a[1], + a[2], + niter, + r1Media=a[3], + r2Media=a[4], + seed=seed, + pickiness=a[5], + pollingError=a[6], + ).rows + ) + + +def listProduct(lists, index=0): + """A Cartesian product for lists + >>> listProduct([[1,2],[3,4]]) + [[1, 3], [2, 3], [1, 4], [2, 4]] + """ + if len(lists) < 2: + return [[i] for i in lists[0]] + returnList = [] + for other in listProduct(lists[1:]): + returnList.extend([item] + other for item in lists[0]) + return returnList -medianRuns = [ - OssChooser([beHon,ProbChooser([(1/2, beStrat), (1/2, beHon)])]), - - - ProbChooser([(1/4, beX), (3/4, beHon)]), - ProbChooser([(1/2, beX), (1/2, beHon)]), - ProbChooser([(3/4, beX), (1/4, beHon)]), - - ProbChooser([(0.5, beStrat), (0.5, beHon)]), - ProbChooser([(1/3, beStrat), (1/3, beHon), (1/3, beX)]), - - LazyChooser(), - ProbChooser([(1/2, LazyChooser()), (1/2, beHon)]), - - ] - -baseRuns = [ - OssChooser([beHon,ProbChooser([(1/2, beStrat), (1/2, beHon)])]), - - ProbChooser([(1/4, beStrat), (3/4, beHon)]), - ProbChooser([(1/2, beStrat), (1/2, beHon)]), - ProbChooser([(3/4, beStrat), (1/4, beHon)]), - - ] - -allSystems = [[Score(1000), baseRuns], - [Score(10), baseRuns], - [Score(2), baseRuns], - [Score(1), baseRuns], - [BulletyApprovalWith(.6), baseRuns], - [Srv(10), baseRuns], - [Srv(2), baseRuns], - [Plurality(), baseRuns], - [Borda(), baseRuns], - [Irv(), baseRuns], - [IrvPrime(), baseRuns], - [Schulze(), baseRuns], - [Rp(), baseRuns], - [V321(), baseRuns], - [Mav(), medianRuns], - [Mj(), medianRuns], - [IRNR(), baseRuns], - ] - -#request from Mark: "SRV0-2, SRV0-3, SRV0-4, SRV0-5, SRV0-6, SRV0-7, SRV0-8, SRV0-9, SRV0-10, Score0-10, 321, Approval, IRV and plurality" -markMethods = [ - [Srv(2), baseRuns], - [Srv(3), baseRuns], - [Srv(4), baseRuns], - [Srv(5), baseRuns], - [Srv(6), baseRuns], - [Srv(7), baseRuns], - [Srv(8), baseRuns], - [Srv(9), baseRuns], - [Score(10), baseRuns], - [V321(), baseRuns], - [BulletyApprovalWith(.6), baseRuns], - [Irv(), baseRuns], - [Plurality(), baseRuns], - ] - -#usage example: -#>>> from vse import * -#>>> vses = CsvBatch(KSModel(dcdecay=(1,3),wcdecay=(1.5,3), dccut = .2, wcalpha=1.5), -# allSystems, nvot=40, ncand=6, niter=15000, baseName="target", -# media=fuzzyMediaFor()) if __name__ == "__main__": import doctest - setDebug( False) + doctest.testmod() diff --git a/vseCheck.R b/vseCheck.R index 08dac5a..e394bc7 100644 --- a/vseCheck.R +++ b/vseCheck.R @@ -35,104 +35,152 @@ library(scatterD3) # # fvse = rbind(fvse,fread("wtf2.csv")) -fvse = fread("target3.csv") -fuzVses = fvse[,mean(util-rand)/mean(best-rand),by=list(method,chooser)] -etype = fvse[method=="Schulze" & chooser=="honBallot",tallyVal0,by=eid] -names(etype) = c("eid","scenario") -setkey(etype,eid) -setkey(fvse,eid) -fvse=fvse[etype] - -interestingStrats = c("honBallot","smartOss","stratBallot","Oss.hon_strat.","Oss.hon_Prob.strat50_hon50..","Prob.strat50_hon50.") -honestScenarios = fvse[chooser %in% interestingStrats,list(vse=mean(util-rand)/mean(best-rand),frequency=.N/dim(etype)[1]),by=list(scenario,chooser,method)] -honestScenarios2 = fvse[chooser %in% interestingStrats,list(vse=mean(util-rand)/mean(best-rand),frequency=.N/dim(etype)[1]),by=list(chooser,method)] -write.csv(honestScenarios,"byScenario.csv") -hmethodlist = honestScenarios2[,method] -methods = unique(hmethodlist) -# methodOrder = methods[c(8,9,14,15,10,#15, #IRNR -# 11,12, #rp -# 5,4,3,2,1,6,7,13 -# #,15 #IRNR at end -# )] -allMethodOrder = c("Plurality", "Borda", "Mav", "Mj", "Irv", "Schulze", "Rp", - "BulletyApproval60", "IdealApproval", "Score0to2", "Score0to10", - "Score0to1000", "Srv0to10", "Srv0to2", "V321") -methodOrder = c("Plurality", "Irv", "BulletyApproval60", "Srv0to10", "V321") -allMethodOrder= unique(c(methodOrder,allMethodOrder)) -methodNames = c("Plurality", "IRV", "Approval", "SRV", "3-2-1", - allMethodOrder[(length(methodOrder)+1):length(allMethodOrder)]) -scenarios = c("cycle", "easy", "spoiler", "squeeze", "chicken", "other") -scenarioFreq = honestScenarios[,list(freq=mean(frequency)),by=scenario] -setkey(scenarioFreq,scenario) -scenarioLabelBase2 = c("2. Easy\n(Cond #1 = Plur #1)", - "5. Chicken dilemma\n(Cond #3 = Plur3 #1)", - "6. Other\n", - "4. Center squeeze\n(Cond #1 = Plur3 #3)", - "3. Spoiler\n(Cond #1 = Plur3 #1)", - "1. Condorcet cycle\n" -) -scenarioLabelBase = c( - "1.Cond. cycle", - "2.Easy", - "3.Spoiler", - "4.Ctr. squeeze", - "5.Chicken dilem.", - "6.Other" -) -scenarioLabel = paste0(scenarioLabelBase," (~",round(scenarioFreq[scenarios,freq]*100),"%)") -stratLabel = c("a.100% honest", - "d.Smart 1-sided strat.", - "f.100% strat.", - "e.100% 1-sided strat.","b.50% 1-sided strat.","c.50% strat.") -methodOrder = methods #comment out -honestScenarios[,method:=factor(hmethodlist,levels=allMethodOrder, - labels=paste(c(paste0(" ",as.character(1:9)),as.character(10:length(allMethodOrder))),allMethodOrder,sep=". "))] -honestScenarios[,strategy:=factor(chooser, levels=interestingStrats,labels=stratLabel)] -honestScenarios[,`Scenario type`:=factor(scenario,levels=scenarios,labels=scenarioLabel)] -honestScenarios[vse<0,vse:=vse/10] -scatterD3(data = honestScenarios[!is.na(method),], x = vse, y = method, col_var = strategy, symbol_var = `Scenario type`, left_margin = 90, xlim=c(-.2,1.0), size_var=frequency) - -numbers = paste0(c(paste0(" ",as.character(1:9)),as.character(10:99)),".") -spaces = c(" ", "\U00a0", "\U2000", "\U2001", "\U2002", "\U2003", "\U2004") -binarycount = expand.grid(1:7,1:7) -invisnumbers = rep(NA,dim(binarycount)[1]) -for (i in 1:length(invisnumbers)) { - invisnumbers[i] = paste0(spaces[as.numeric(binarycount[i,2:1])],collapse="") +fvse = fread("quicktest3.csv") +numVoters = mean(fvse[,numVoters]) +vses = fvse[method != "ApprovalPoll",list(VSE=mean((r1WinnerUtil - meanCandidateUtil) / + (magicBestUtil - meanCandidateUtil))),by=.(method,backgroundStrat)] +dcast(vses, method ~ backgroundStrat) +vses + +fromhons = fvse[backgroundStrat=="honBallot", + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + firstDeciderUtilDiff=mean(firstDeciderUtilDiff), + deciderUtilDiffSum=mean(deciderUtilDiffSum), + avgStrategicRegret=mean((avgStrategicRegret) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHelpedUtilDiff=mean((fgHelpedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHarmedUtilDiff=mean((fgHarmedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters) + ), + by=.(method,backgroundStrat, fgStrat, fgArgs, fgTargets)] +fromhons + +fromawares = fvse[((backgroundStrat=="vaBallot" & method != "Minimax") | (backgroundStrat=="honBallot" &method == "Minimax")), #& !fgStrat %in% c("", "vaBallot"), + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + firstDeciderUtilDiff=mean(firstDeciderUtilDiff), + deciderUtilDiffSum=mean(deciderUtilDiffSum), + avgStrategicRegret=mean(avgStrategicRegret / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHelpedUtilDiff=mean(fgHelpedUtilDiff / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHarmedUtilDiff=mean(fgHarmedUtilDiff / (magicBestUtil - meanCandidateUtil) / numVoters)), + by=.(method,backgroundStrat, fgStrat, fgArgs, fgTargets)] +fromawares + +fromall = fvse[method !="ApprovalPoll", + list( + vse=mean((r1WinnerUtil - meanCandidateUtil) / (magicBestUtil - meanCandidateUtil)), + fgMatters=mean(fgUtilDiff != 0), + VSEDiff=mean((totalUtil - r1WinnerUtil) / (magicBestUtil - meanCandidateUtil)), + #margStrategicRegret=mean(margStrategicRegret), + firstDeciderUtilDiff=mean(firstDeciderUtilDiff), + deciderUtilDiffSum=mean(deciderUtilDiffSum), + avgStrategicRegret=mean((avgStrategicRegret) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHelpedUtilDiff=mean((fgHelpedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters), + fgHarmedUtilDiff=mean((fgHarmedUtilDiff) / (magicBestUtil - meanCandidateUtil) / numVoters) + ), + by=.(method,backgroundStrat, bgArgs, fgStrat, fgArgs, fgTargets)] +fromall + +besttargets = function(grouped) { + grouped[,target:=fgTargets[order(-avgStrategicRegret)[1]], by=.(method,backgroundStrat, fgStrat, fgArgs)] +# justBest = grouped[target,,] + chosen = grouped[grouped[, .I[avgStrategicRegret == max(avgStrategicRegret)], by = .(method,backgroundStrat, fgStrat, fgArgs)]$V1] } -numbers = invisnumbers - -numberedNames = paste(numbers[1:length(methodNames)],methodNames,sep=" ") - - -honestScenarios2[,method:=factor(hmethodlist,levels=allMethodOrder,labels=numberedNames)] -honestScenarios2[,strategy:=factor(chooser, levels=interestingStrats,labels=stratLabel)] -#honestScenarios2[,`Scenario type`:=factor(scenario,levels=scenarios,labels=scenarioLabel)] -honestScenarios2[vse<0,vse:=vse/10] - -#[-grep("IRNR",honestScenarios2[,as.character(method)])] -scatterD3(data = honestScenarios2[as.character(method) %in% levels(honestScenarios2[,method])[1:5],], x = vse, y = method, col_var = strategy, left_margin = 90, xlim=c(.7,1.0)) - -fvse[,works:=as.integer(tallyVal1)] - -#strategic function -stratWorks = fvse[chooser=="Oss.hon_strat.",list(stratWorks=mean(works==1,na.rm=T), - stratBackfire=mean(works==-1,na.rm=T), - frequency=.N/dim(etype)[1]),by=list(method,scenario)] - -stratWorks[,`Scenario type`:=factor(scenario,levels=scenarios,labels=scenarioLabel)] -scatterD3(data = stratWorks, x = stratWorks, y = stratBackfire, xlim=c(0,1.0),ylim=c(0,1.0), symbol_var = `Scenario type`, size_var=frequency, col_var=method) - +bestfromawares = besttargets(fromawares) +bestfromawares +library(ggplot2) +library(ggthemes) +library(dplyr) +library(forcats) +library(scales) + +#vse as bars +(ggplot(data = vses, aes(x = VSE, y = method, group = method)) + + geom_line(size=3) + xlim(.65,1.00) + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)")) + +#vse as dots +( +vses[!(method=="Minimax" & backgroundStrat=="vaBallot"),] %>% + mutate(method = method + %>% fct_reorder(VSE, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = VSE, y = as.factor(method), color = backgroundStrat)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1))#, limits=c(.68, 1.0)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)") + + labs(color="Voter Behavior") + scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) +) -stratWorksAg = fvse[chooser=="Oss.hon_strat.",list(stratWorks=mean(works==1,na.rm=T), - stratBackfire=mean(works==-1,na.rm=T)), - by=list(method)] +#ASR for viability-aware +( + fromhons %>% + mutate(method = method + %>% fct_reorder(avgStrategicRegret, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = avgStrategicRegret, y = as.factor(method))) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1), limits = c(-.0,.38)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Average Strategic Regret (ASR) for not casting a viability-aware ballot") + #+ labs(color="Voter Behavior") + #+ scale_colour_colorblind(labels = c("Honest / Naive", "Viability-aware")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) +) -scatterD3(data = stratWorksAg, x = stratWorks, y = stratBackfire, xlim=c(0,1.0),ylim=c(0,1.0), col_var=method, lab=method) -honestScenarios2[,VSE:=vse*100] +#ASR for targeted strategy +( + bestfromawares %>% + mutate(method = method + %>% fct_reorder(avgStrategicRegret, .fun='mean') + %>% recode(`STAR`="STAR", + `PluralityTop2`="Plurality Top Two", + `Minimax`="Smith/Minimax", + `Irv`="IRV (RCV)", + `ApprovalTop2`="Approval Top Two", + ), + #to=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval"))) + #VSE = VSE * 100 + ) %>% + ggplot( + aes(x = avgStrategicRegret, y = as.factor(method), shape = as.factor(fgStrat), color = fgArgs)) + + scale_x_continuous(labels=scales::percent_format(accuracy = 1)) + + geom_point(size=3) #+ xlim(.65,1.00) + + theme_gdocs() + + theme(axis.title.y=element_blank()) + xlab("% Average Strategic Regret (ASR) for not using targeted strategy") + + labs(color="Strategy level", shape="Strategy type") + + scale_colour_colorblind(labels = c("Honest", "Semi-honest", "Dishonest", "Bullet")) + + scale_shape(labels = c("Compromise", "Die-hard")) + # + scale_y_discrete(breaks=c("STAR", "Plurality", "PluralityTop2", "Minimax", "Irv", "ApprovalTop2", "Approval"), + # labels=c("STAR", "Plurality/Runoff", "Plurality", "Smith/Minimax", irv="IRV (RCV)", "Approval/Runoff", "Approval")) +) -library(ggplot2) -library(ggthemes) -ggplot(data = honestScenarios2[as.character(method) %in% levels(honestScenarios2[,method])[c(1:3,5)],], aes(x = VSE, y = method, group = method)) + geom_line(size=3) + xlim(70,100) + theme_gdocs() + theme(axis.title.y=element_blank()) + xlab("% Voter Satisfaction Efficiency (VSE)") -#(I think that refining the strategies can improve the function:backfire balance, but it's a) \ No newline at end of file